High pressure and multiferroics materials: a happy marriage

The effect of high pressure on the synthesis, properties and atomic structure of multiferroic materials with perovskite or perovskite-related structures is reviewed.


Introduction
Multiferroism can generally be defined as a phenomena in which two or more of the so-called 'ferroic' order parameters (ferroelectricity, ferromagnetism and ferroelasticity) simultaneously coexist in a single phase material.
Among the different interactions, magneto-electric coupling is the most desirable property; it refers to either the induction of magnetization by an electric field or polarization by a magnetic field. The ultimate goal is a single phase multiferroic (MF), with strong coupling between magnetic and electronic order parameters and the potential to mutually manipulate them at high (ambient) temperature. Aside from the very promising technological applications (Nan et al., 2008), the fascinating fundamental physics of MF materials certainly deserves further investigation.
Unfortunately, these compounds are extremely rare in nature; the scarcity of magneto-electric MFs can be understood by investigating a number of factors, including symmetry and electronic properties. From the structural point of view, there are only 13 point groups that can give rise to multiferroic behavior. Moreover, ferroelectrics by definition are insulators, while itinerant ferromagnets need conduction electrons. There seems to be an intrinsic contradiction between the conventional mechanism of off-centering in a ferroelectric, related to transition metals with d 0 electronic configuration and the formation of magnetic order which requires the presence of unpaired electrons.
Interestingly, Landau & Lifshitz (1959) in a volume of their Course of Theoretical Physics stated 'Let us point out two more phenomena, which, in principle, could exist. One is piezomagnetism . . . the other is a linear coupling between magnetic and electric fields in a media . . . Both these phenomena could exist for certain classes of magnetocrystalline symmetry, but it seems that till present, they have not been observed in any substance'.
Yet in 2000, Nicola A. Hill published a paper (Hill, 2000) entitled: 'Why are there so few magnetic ferroelectrics?', clearly addressing the complexity of these materials.
Even to probe the magneto-electric coupling is a complicated issue (Bibes, 2012); it can be measured indirectly by simply recording changes in either the magnetization near a ferroelectric transition temperature or the dielectric constant near a magnetic transition temperature ('magnetocapacitance' or 'magnetodielectric' response). Direct measurements are more challenging, requiring either a magnetic response to an applied electric field [M(E)] or an electrical response to an applied magnetic field [P(H)].
All these complexities were too puzzling until recently, when the researchers found out that an additional electronic or structural driving force must be present for ferromagnetism and ferroelectricity to occur simultaneously.
Undoubtedly, the recent 'explosion' in MF studies is enabled by a combination of theoretical and experimental factors. In particular for the latter, new synthesis techniques such as vacuum-based thin film deposition techniques (for hetero-structures) and high pressure/high temperature (HP/ HT), allow new materials to be obtained by stabilizing metastable or highly distorted structures, which might support ME coupling. Indeed, the use of high-pressure techniques (both for the synthesis and the characterization) is providing important (and somewhat unexpected) results.
Multiferroism is still a relatively young field of research; although predicted in the late 1950s (Landau & Lifshitz, 1959) and the term coined in 1994 (Schmid, 1994), the attention raised exponentially only after 2003, the 'golden year' for MFs, concomitant with the discovery of large ferroelectric polarization in epitaxial grown thin films of BiFeO 3  and the discovery of strong magnetic and electric coupling in orthorhombic TbMnO 3 (Kimura et al., 2003) and TbMn 2 O 5 (Hur et al., 2004). New results are continuously reported and material scientists (and the high-pressure community) are working hard to contradict Landau and Lifshitz's statement and to prove Hill's paper to be outdated. A measure of the activity of the research on MF materials is the large number of publications; at the date of submission of the present papers, about 4050 papers (2440 from 2010) were published with the term 'multiferroic' in the title and 4200 (1780 from 2010) with the term 'magneto-electric' (source: Google Scholar).
Besides the massive literature available on MFs (Spaldin & Fiebig, 2005;Fiebig, 2005;Eerenstein et al., 2006;Khomskii, 2006;Rao & Serrao, 2007, and reference therein), this review paper is limited to discuss the role of HP in the study of magneto-electric MF materials, combining HP/HT synthesis (why HP synthesis is so often needed?) and HP characterization (what kind of information can be derived from HP characterization techniques?).

HP/HT synthesis of bulk MF materials
The tremendous rise in research on MF and magneto-electric materials pushed the material scientists to search for new materials and mechanisms leading to magneto-electric coupling and multiferroic behavior. Historically, HP/HT synthesis has proven to be very effective in producing a large number of new phases (Badding et al., 1995;McMillan, 2002McMillan, , 2003Brazhkin, 2007), for example in the fields of super-hard materials (Haines et al., 2001), superconductors (Bos, Penny et al., 2008) etc. For some of them (for example when high density is required, as in the super-hard materials), the role of applied pressure is intuitively easy to understand, while for other systems, often supporting complex electronic, magnetic or transport properties, one can guess that the stabilization of uncommon metastable phases/structures/coordinations offers a pathway to new properties. Indeed, MF materials belong to the latter category.
Already from this general list, one should ask: why does the perovskite-type structure play such an important role in the search for MF properties? Generally speaking, it is well known that it is a very common structure, showing an extraordinary variety of properties. Many different atoms can occupy in particular the cationic sites, allowing a wide tuning of their properties. Moreover, the majority of ferroelectric materials exhibit perovskite structure.
People working with high pressure (and particularly geologists) are familiar with perovskites; being a typical HP structure (dense packing, high coordination number, low interatomic distances etc.) it is commonly found in our planet starting from the mantle to the core-mantle boundary, where silicate perovskites represent the main mineral phases (Murakami et al., 2012). Interestingly, part of this depth corresponds to the thermodynamical conditions accessible to conventional HP apparatus (piston cylinder, belt apparatus, multi anvil, diamond anvil) used for the HP/HT synthesis and characterization reported in the present paper.
Thus, it is not surprising that the section of this work on HP/ HT synthesis of new materials eventually exhibiting MF properties deals mainly with perovskite-based compounds.
As already pointed out, measurement of the properties of MFs, and in particular the direct magneto-electric coupling, is not trivial, even on high quality samples available in large quantities. This is usually not the case for HP synthesized metastable compounds, where the MF properties are generally detected (or hypothesized) in an indirect way, when the measurement (or the calculation) of the magnetic and ferroelectric transitions occur simultaneously.

HP/HT synthesis of simple perovskite bulk MF compounds
The 'simple' perovskite structure (ABO 3 ) consists of corner-sharing BO 6 octahedra, with B ions (usually magnetic, such as Mn or Fe) in the center of the octahedral site (coordination number: 6) and A ions at the center of a cube formed by eight BO 6 octahedra (coordination number: 12). The most common structural distortion derives from the mismatch of A-O and B-O bond distances, the Jahn-Teller (JT) distortions (elongation/compression) and the buckling (variation of the B-O-O angle) of the BO 6 octahedra. The application of an external pressure enhances the ability of the perovskite to accommodate different ionic sizes, vacancies and the abovementioned structural distortions.
For example, in the manganites (RMnO 3 ) two crystal phases, hexagonal and orthorhombic, exist at ambient pressure. The orthorhombic structure (Pbnm) is stable for large R ions (La, Pr, Nd, Tb and Dy), while small R ions (Ho, Er, Yb, Lu, In and Sc) adopt the hexagonal structure (P6 3 cm, at room temperature). However, orthorhombic RMnO 3 with small R ions, such as Ho and Lu, can be synthesized as metastable perovskites by HP/HT synthesis (Wood et al., 1973;Wu et al., 2014;Rodgers et al., 2006).
The simplest method to induce MF is to combine in the same phase a magnetic ion (ferromagnetism) in a noncentrosymmetric structure, enabling the insurgence of ferroelectricity. Ferroelectricity can be inducted by the asymmetrical coordination produced by the stereochemical effect of a 'lone-pair' atom such as Bi 3+ and Pb 2+ , representing frequent ingredients of the magneto-electric MF compounds.
BiFeO 3 is the prototype material, but it is unusual among the Bi-based perovskites in that it can be made under ambient conditions; most others require HP/HT synthesis. Since Bi 2 O 3 melts at 824 C at ambient pressure, HP is necessary in most cases to achieve a high-temperature solid state reaction whenever oxides are used as reagents.
BiMnO 3 is an obvious MF magneto-electric candidate, requiring HP/HT synthesis (P = 4 GPa, T = 1273 K). BiMnO 3 deserves a special discussion; in spite of its 'simple' perovskite structure, it is a very complex material and we refer to the massive work that has been done to unveil its peculiar structural properties (Belik, Iikubo et al., 2006), the HP/HT synthesis (P = 4 GPa, T = 1273 K), the complex phase diagram at ambient and high temperature (Montanari, Righi et al., 2005;, and the magnetic and electric properties , some of those are also detailed in the second part of this paper on characterization. We emphasize the controversial determination of its MF properties, since a general consensus on the structure and the ferroelectric properties is still lacking (Goian et al., 2012).
The search for polar structure in potentially MF Bi-based perovskites has been studied in particular by Belik, who reported a series of BiMO 3 oxides with M = Al, Sc, Ti, V, Cr, Mn, Co, Ni, Cu, Ga, In and Rh (Belik, 2012). He also investigated the solid solutions of BiGa x M 1Àx O 3 (M = Cr, Mn and Fe) prepared at P = 6 GPa and T = 1700 K (M = Cr and Fe) and 1300 K (M = Mn) resulting in the formation of a large family of polar materials with Cm and R3c symmetries. Samples with Cm symmetry have structures similar to PbVO 3 and BiCoO 3 , while R3c symmetry compounds are isostructural with BiFeO 3 and have comparable calculated spontaneous polarization (58 mC cm À2 for BiGa 0.4 Cr 0.6 O 3 ). Noticeable calculated polarizations of 116 mC cm À2 and 102 mC cm À2 are reported for BiGa 0.4 Fe 0.6 O 3 and BiGa 0.3 Mn 0.3 O 3 , respectively. On the contrary, the HP synthesized BiMnO 3 -type BiScO 3 (P = 6 GPa, T = 1413 K) crystallizes in the space group C2/c (centrosymmetric and therefore non-ferroelectric) (Belik, Iikubo et al., 2006).
To provide further evidence of the complex and intriguing behavior of BiMnO 3 , recently Chakrabartty et al. reported a photovoltaic effect exploiting its ferroelectricity (i.e. the photo-carrier separated by the electrical dipole rather than in a p-n junction as in a conventional solar cell); an external solar power conversion efficiency of $ 0.1% was achieved in Bi-Mn-O thin films grown onto an Nb-doped SrTiO 3 singlecrystal substrate by pulse laser deposition (Chakrabartty et al., 2014).
Ferroelectric behavior associated with lattice distortion is found in single crystals of perovskite-type YMnO 3 obtained under HP quasi-hydrothermal conditions (P = 5.5 GPa) (Ishiwata et al., 2011). Polarization along the ab-plane was observed, accompanied by the discontinuous jump of the dielectric constant at T N = 42 K, below which P shows a stepwise increase reaching ca 0.22 mC cm À2 at 2 K, larger than the value for the polycrystalline sample (Taguchi et al., 2012).
By combining dielectric, specific heat and magnetization measurements and high-resolution neutron powder diffraction, Ye et al. (2007) investigated the thermodynamic and magnetic and structural properties of the metastable orthorhombic perovskite ErMnO 3 prepared at P = 3.5 GPa and T = 1373 K. The system shows T N = 42 K and a corresponding sudden increase of the dielectric constant.
The monoclinic (P2 1 /n) ScMnO 3 perovskite was synthesized by Chen et al. (2013) from the hexagonal phase at P = 12.5 GPa and T = 1373 K. Although indirect evidence of MF properties have already been obtained, the monoclinic phase shows a similar structure to the orthorhombic Ho and Lu analogues, stimulating further studies on possibly coupled electrical polarization and magnetism.
Other interesting examples are ScCrO 3 and InCrO 3 , synthesized at P = 6 GPa and T = 1500 K. They crystallize in the GdFeO 3 -type perovskite structure (space group Pnma). Antiferromagnetic transitions occur at T N = 73 K in ScCrO 3 and 93 K in InCrO 3 and dielectric anomalies were observed in both compounds at T N , indicating magneto-electric coupling, contrary to YCrO 3 (Belik, Matsushita et al., 2012). Aimi et al. (2011) studied the correlation between structure, magnetic and dielectric properties in MnMO 3 (M = Ti, Sn) synthesized in HP/HT conditions (P = 7 GPa, T = 973 and 1073 K, respectively); both the compounds possess a polar LiNbO 3 -type structure at room temperature. Weak ferromagnetism due to canted antiferromagnetic interactions was observed at T N = 25 K for MnTiO 3 and at T N = 50 K for MnSnO 3 , with anomalies in the dielectric permittivity indicating the correlation between magnetic and dielectric properties.
A similar structure was obtained for PbNiO 3 by  at P = 3 GPa and T = 1073 K. The obtained perovskite-type phase crystallizes in an orthorhombic GdFeO 3 -type structure (space group Pnma) that irreversibly transforms to a LiNbO 3 -type phase with an acentric space group R3c by heat treatment at ambient pressure. The magnetic susceptibility measurement shows that PbNiO 3 undergoes an antiferromagnetic transition with T N = 205 K.

HP/HT synthesis of double perovskite bulk MF compounds
This paragraph covers the HP/HT synthesis of 'double' perovskite MF oxides with the general formula A 2 BB 0 O 6 . The presence of two different magnetic cations on the B-site may lead to different types of interactions, favoring an increase in the magnetic ordering temperature and the enhancement of the properties.
Many combinations of ions bringing either magnetic or electric properties have been attempted in the last few years; Shimakawa et al. (2011) reported that bulk Bi 2 NiMnO 6 (monoclinic structure, space group C2, synthesized at P = 6 GPa, T = 1073 K) exhibits ferromagnetic (T c = 485 K) and ferroelectric properties (calculated P = 20 mC cm À2 ). Bi 2 FeMnO 6 , a potential MF bulk sample, was obtained by Delmonte et al. (2013) at P = 6 GPa at T = 1373 K, displaying complex magnetic behavior (magnetic transitions at T = 420 and 288 K) and a temperature-induced magnetization reversal. The crystal structure is orthorhombic (space group Pnam), with no cation order on the B site; anomalies in the thermal dependence of the lattice parameters are observed at the magnetic ordering at T = 288 K, indicating a spin-lattice coupling and possible magneto-electric coupling. Cationic disorder of the Bi-based double perovskite is also observed in Bi 2 FeCrO 6 , a recently proposed candidate MF, prepared in bulk form by HP/HT (Suchomel et al., 2007).
In contrast, a significant degree of ordering of Mn 4+ and Ni 2+ ions was observed in In 2 NiMnO 6 , prepared at P = 6 GPa and T = 1600 K, characterized by a monoclinic structure (space group P2 1 /n) and magnetic T N = 26 K. In spite of the interesting magnetic behavior (a field-induced antiferromagnetic-ferromagnetic transition at low T), no magneto-electric coupling has been detected (Yi et al., 2013). Liu et al. (2014) synthesized high-purity crystals of Y 2 FeMnO 6 and Y 2 CrMnO 6 , crystallizing in the orthorhombic space group Pnma, using a flux method under pressure (P = 6 GPa, T = 1573 K). An antiferromagnetic transition occurs at T N = 328 K in Y 2 FeMnO 6 , and a ferrimagnetic one at T N = 74 K in Y 2 CrMnO 6 ; in both cases, the presence of the dielectric anomaly near T N portends a magneto-electric effect.
Other interesting structures have been recently reported; Mathieu et al. (2013) succeeded in the preparation of Mn 2 FeSbO 6 at P = 3 GPa and T = 1273 K, a rare example of an antiferromagnetic double perovskite polymorph (the material also crystallizes as ferrimagnetic ilmenite) with the A site entirely occupied by Mn and Fe/Sb cationic order on the B sites. Theoretical calculations for the perovskite phase suggest a complex magnetic structure, holding an electronic polarization and possible magneto-electric properties. Aimi et al. (2014) reported the synthesis of a novel ferroelectric A-site ordered double perovskite CaMnTi 2 O 6 at P = 7 GPa and T = 1473 K, with an uncommon polar space group P4 2 mc and a ferroelectric-paraelectric order-disorder type phase transition at 630 K. Similar to the structure of CaFeTi 2 O 6 , the A-site Ca 2+ is 10-coordinated while Mn 2+ shows alternate tetrahedral and square-planar coordination. The square-planar coordination shifts along the c-axis and the usual Ti 4+ ion displacement accounts for its polar structure. P-E hysteresis measurement demonstrated that CaMnTi 2 O 6 is ferroelectric with a calculated polarization and an observed remnant polarization of 24 and 3.5 mC cm À2 , respectively.

HP/HT synthesis of complex (quadruple) perovskite bulk MF compounds
'Quadruple' perovkites are A-site ordered compounds, derived by the doubling of the conventional ABO 3 axes; their general formula can be written as AA 0 3 B 4 O 12 to better visualize the site occupation of the different elements. The structure is based on a three-dimensional network of corner-sharing tilted octahedra, centered on the B site (usually occupied by a magnetic element in MF materials) stabilized under high pressure by the presence of a Jahn-Teller atom (Mn 3+ or Cu 2+ ) on the A 0 site, forming an uncommon square-planar coordination due to large distortion of the A-site coordination.
Among the compounds belonging to this family, CaMn 7 O 12 (or CaMn 3 Mn 4 O 12 ) possesses all the requirements for being a good magneto-electric MF compound: (i) a ferroelectric transition temperature (T C = 90 K) much higher compared with other magnetic MF manganites, and (ii) high polarization values, 450 mC m À2 at 8 K when using a poling field of 7 kV cm À1 (Zhang, Dong et al., 2011). By neutron powder diffraction from CaMn 7 O 12 single crystals, Johnson et al. (2012) found that the polarization (along the c-axis of the rhombohedral cell) reaches the remarkable value of 2870 mC m À2 at low temperatures, one of the largest measured values in magnetic MFs (Johnson et al., 2012). CaMn 7 O 12 can be synthesized at ambient pressure although, curiously, was first synthesized under high pressure (Bochu et al., 1974; P = 8 GPa, T = 1273 K).
Those impressive properties certainly sparked interest in MF materials belonging to this family of complex perovskites.
Following the consolidated strategy based on the Bi 3+ substitutions, Mezzadri et al. (2009) reported the HP/HT (P = 4 GPa, T = 1273 K) synthesis of BiMn 7 O 12 (or BiMn 3 Mn 4 O 12 ). As expected, the structural characterization of single-crystal samples shows a distorted and asymmetrical coordination around the Bi atom due to the presence of the 6s 2 lone pair, resulting in the non-centrosymmetric space group Im, leading to a permanent electrical dipole moment and ferroelectric properties. The dielectric constant shows anomalies, matching the antiferromagnetic transition temperatures (T N = 22 and 55 K).
By means of neutron diffraction, Gauzzi et al. (2013) found a large uniform modulation of the antiferromagnetic structure of the Mn 3+ ions; this modulation (absent in the isovalent compound LaMn 7 O 12 ) is induced by the internal strain created by the polar Bi 3+ ion, and accounts for a large magneto-electric coupling. Therefore, the peculiar quadruple perovskite structure preventing the release of the strain provides a new degree of freedom to achieve large magnetoelectric couplings. Locherer et al. (2012) reported the HP/HT synthesis (P = 7.5 GPa, T = 1173-1273 K) of the isostructural and heterovalent PbMn 7 O 12 (or Pb(Mn 3+ 3 )(Mn 3+ 3 Mn 4+ )O 12 to appreciate the different mixed-valence occupation of Mn on the B-site); as for BiMn 7 O 12 , the basic mechanism supporting the FE is supposed to be the stereochemical effect of the 6s 2 lone pair of Pb 2+ that induces a permanent electric dipole but, surprisingly, PbMn 7 O 12 crystallizes in a centrosymmetric structure (space group: R 3 3). However, a sizeable coupling of magnetic, electrical and dielectric properties at T N = 68 K indicates a MF behavior.
This family of compounds is not fully explored yet; new promising properties are awaited, possibly also in non-'lonepair' materials, for their complex structure leading to unusual magnetic properties, such as in LaMn 7 O 12 (Prodi et al., 2009) and isostructural samples with decoupling of the magnetic contribution of the A 0 -B sites, as in LaMn 3 Cr 4 O 12 and LaMn 3 Ti 4 O 12 (Long et al., 2009).

HP/HT synthesis of distorted-perovskite bulk MF compounds
Among the numerous structures derived from various distortions of the perovskite structure, iron fluorides with tetragonal tungsten bronze (TTB) structure, having the general formula K x Fe x 2+ Fe 3+ 1Àx F 3 , deserve a special mention. The structure can be described as a perovskite-like network of Fe 2+ O 6 octahedra surrounded by pentagonal non-perovskite sites. K 0.6 Fe 0.6 2+ Fe 3+ 0.4 F 3 single crystals have been grown by hydrothermal synthesis (P = 1.3 Kbar, T = 950 K) and below magnetic transitions (T N = 118 K) the system, characterized by an ordered arrangement of Fe 2+ /Fe 3+ , is suggested to be a rare example of complete MF, being simultaneously ferrimagnetic, ferroelectric and ferroelastic (Mezzadri et al., 2008). In this case, the main role of the (limited) applied pressure is to reach the conditions suitable for hydrothermal synthesis.
A selection of perovskite-based materials, their structural properties, HP/HT syntheses conditions and the corresponding magnetic (T N , T C ) and electric (polarization) transitions is summarized in Table 1.
Due to unavoidable limitations of the HP/HT syntheses, such as the scarce amount of obtainable material, alternative methods have been developed to mimic the effect of the external pressure: thin film epitaxial stabilization and chemical substitutions.

Beyond HP/HT synthesis of MF materials: thin film epitaxial stabilization
This approach, desirable for device fabrication, implies the deposition of the single phase (i.e. non-hetero-structures formed by a multilayers architecture) in the form of a thin film on strained substrates. Interesting results have been achieved for several (potential) magneto-electric MF materials as a viable alternative to HP/HT synthesis to obtain Bi-based perovskites, such as BiMnO 3 (Moreira dos Santos et al., 2004;Sharan et al., 2004;Eerenstein et al., 2005), BiAlO 3 and BiGaO 3 (Belik, Wuernisha et al., 2006) on different substrates.
Analogously, fully epitaxial thin films of PbVO 3 were deposited by a pulsed laser deposition on a number of singlecrystal substrates including NdGaO 3 (100) (Kumar et al., 2007) and LaAlO 3 (001) (Oh et al., 2014). PbVO 3 has been proposed as a good candidate to be a magneto-electric MF compound, having an antiferromagnetic ordering (T N ' 200 K) and a ferroelectric polarization as large as 152 mC cm À2 .
Concerning the double perovskite structure, the tendency is toward MF hetero-structures, that is the combination of layers with different functionalities, by using sophisticated deposition techniques enabling the precise control of the interfaces as detailed in several topical review papers (Shpanchenko et al., 2004;Ramesh & Spaldin, 2007;Martin et al., 2008;Vaz, 2012).
To the best of our knowledge no MF properties have been reported for the quadruple-perovskite thin film, although for NdMn 7 O 12 , that can be synthesized as bulk at 8 GPa and 1000 C, 10 nm-thick metastable thin film has been successfully grown on Nd 1Àx MnO 3 substrate by the pulsed laser method or feature articles by injection MOCVD (Bosak et al., 2000;Prellier et al., 2001;Gorbenko et al., 2002)  Gilioli and Ehm High pressure and multiferroics materials 595 Table 1 HP/HT synthesis and magneto-electric properties in MF materials with perovskite-based structure.
BiGaO 3 P = 6 GPa Pcca P > 100 mC cm À2 Calculated P for BiGa 1 À mechanical, may be used to enhance the magneto-electric coupling in MF materials. The same principle can be applied to thin films; Izquierdo et al. (2014) combined the epitaxial strain and the chemical pressure to modify the magnetic response of Al-doped TbMnO 3 films grown under compressive/tensile strain using (001)-oriented SrTiO 3 and MgO substrates by RF-sputtering. The chemical pressure generated by Al doping, together with the substrate-induced strain, modify the subtle competition between magnetic interactions in the system (the films show a weak ferromagnetic phase coexisting with the expected 'bulk' antiferromagnetic phase), hence an additional degree of freedom to control the magnetic ordering can be provided, for example, by varying the film thickness and/or using other substrates.

Effect of HP on electrical and magnetic measurements
Besides the HP/HT synthesis, the application of external pressure often plays an important role in the magneto-electrical characterization even on thermodynamically stable compounds. This effect is clearly reported by Retuerto et al. (2009), comparing the DC-magnetic susceptibility versus T and H of the double perovskite Sr 2 FeMoO 6 synthesized at ambient pressure and at 2 GPa, the latter displays a higher saturation magnetization and a sharper ferromagnetic transition at T C as high as 430 K, thanks to the HP-induced cationic ordering. Although Sr 2 FeMoO 6 , contrary to the isostructural compounds reported in x2.2, does not belong to the family of MF materials, it indicates that HP is an important tool to better probe their magnetic and electric properties.
Relevant examples include enhancements in the polarization and magnetic properties in BiFeO 3 ceramic prepared by HP/HT synthesis (Su et al., 2007), the improved multiferroic properties in bulk RMn 2 O 5 (R = Tb, Dy, Ho) (dela Cruz et al., 2007) or Ru-doped BiFeO 3 thin films , or other phenomena such as the HP-induced polarization reversal in multiferroic YMn 2 O 5 , the HP-induced spin-liquid phase of bulk YMnO 3 (Kozlenko et al., 2008) or the HP-induced increase in the microwave absorption properties of bulk BiFeO 3 (Wen et al., 2010).

In situ investigations of MF materials at HP
Pressure is an ideal tool to manipulate the electronic and magnetic structure and the atomic arrangement of a material (Hemley & Ashcroft, 1998;Hemley et al., 2009;Schilling, 2000;Struzhkin et al., 2000). Although some HP phases can be quenched to ambient conditions and be recovered for detailed experimental characterization (as reviewed in x2 of this article), the majority of pressure-induced structural, electronic and magnetic phase transitions are reversible. Therefore, it is paramount to investigate the high-pressure behavior of materials in situ. The advances in HP technology over the past 50 years at large scale facilities (e.g. synchrotron radiation facilities and neutron sources) and in the laboratory (Bassett, 2009;Liebermann, 2011) have provided us with a large number of experimental tools to investigate the response of materials in situ at high pressure and variable temperature.

Multiferroic materials with perovskite structure
The vast majority of investigations at high pressure have been conducted on compounds with perovskite-type structure or variations hereof (we stressed its pivotal role in the synthesis of MF materials in the previous section). The geometrical features of the perovskite structures can be manipulated by the application of high pressure; since there is a direct link between the atomic structure and the magnetoelectric properties, dramatic changes in the multiferroic behavior can be expected at high pressure.
3.1.1. BiFeO 3 a prototype multiferroic material. As already mentioned, BiFeO 3 is a prototype MF material with perovskite structure that shows magnetic and ferroelectric behavior with a strong polarization at T = 300 K (Teague et al., 1970;Wang et al., 2003;Catalan et al., 2009;Shvartsman et al., 2007;Lebeugle et al., 2007). Over the past years, BiFeO 3 has developed into the most popular model system for experimental and theoretical investigations of MF materials at HP. The pressure-induced changes in BiFeO 3 have been experimentally investigated by Raman spectroscopy (Haumont et al., 2006;Yang et al., 2009 (Gavriliuk et al., 2008), Nuclear Forward Scattering (NFS) (Gavriliuk et al., 2005(Gavriliuk et al., , 2008) and Xray Emission Spectroscopy (XES) (Gavriliuk et al., 2008) as well as theoretically through first-principles calculations (Gonzalez-Vazquez & Iniguez, 2009;Shang et al., 2009;Feng et al., 2013;Qiang et al., 2013). BiFeO 3 displays a complex response to high pressure with a number of structural phase transitions in the pressure range up to 60 GPa (Belik et al., 2009a;Haumont et al., 2009;Zhu et al., 2010;Guennou, Bouvier, Chen et al., 2011;Kozlenko et al., 2011;Mishra et al., 2013). However, the number of phase transitions, the atomic structure and the symmetry of the HP phases remain controversial. Gavriliuk et al. (2008) observed no structural phase transition in the pressure range to 60 GPa. Zhu et al. (2010) proposed a structural phase transition at about 10 GPa, however, based on the low-resolution diffraction data no unit cell or space group were proposed for the HP phase. Kozlenko et al. (2011) proposed a phase transition at 3 GPa from R3c to an orthorhombic phase with the space group Pbam from neutron powder diffraction data. Haumont et al. (2009) reported two phase transitions at P ' 3.5 and 10 GPa and proposed a R3c ! C2/m ! Pnma phase sequence. Mishra et al. (2013) observed two phase transitions at P = 4.1 and 11 GPa with a proposed phase sequence of R3c ! P222 1 ! Pnma. Two phase transitions at P = 4 and 7 GPa on compression have been observed by Belik et al. (2009a) and an additional phase transition on decompression, stable in a narrow pressure range between 3.4 to 4.9 GPa. The resulting phase transition sequence is the following R3c ! Pbam ! Ibam ! Cmmm proposing three different low-pressure phases with orthorhombic symmetry (Belik et al., 2009a). Guennou, Bouvier, Chen et al. (2011) conducted X-ray singlecrystal diffraction experiments up to pressures of 60 GPa, reporting six structural phase transitions at P = 4, 5, 7, 11 and 38 GPa, respectively. The proposed phase sequence is R3c The limited reciprocal space coverage of the HP single-crystal diffraction data did not allow an unambiguous identification of the structure models or space groups of the low-pressure orthorhombic O-I, O-II and O-III phases. Gavriliuk et al. (2008) conducted XES, NFS and resistivity measurements up to P = 55 GPa. The results from the XES and NSF measurements suggest a spin crossover from high spin (HS) to low spin (LS) of Fe 3+ in the region between 45 to 55 GPa and a reversible insulator to metal Mott transition above 55 GPa. The authors suggest that the insulator to metal transition is driven by the HS-LS transition of the Fe 3+ , by changing the effective correlation energy below the threshold for the insulator to metal transition. First-principles calculations (Gonzalez-Vazquez & Iniguez, 2009) confirm the HS-LS transition and the very complex structural-electronic magnetic interplay during the transformations observed experimentally by Gavriliuk et al. (2008). Furthermore, an additional transition to a metallic non-spin phase at pressures above 70 GPa was proposed (Gonzalez-Vazquez & Iniguez, 2009). Haumont et al. (2006) and  find in their experimental results that stress and nonhydrostatic pressure conditions can not only lead to a significant shift in transition pressures, but also to stabilization of new phases.  identified a new monoclinic phase at P ' 8 GPa under nonhydrostatic pressure conditions. In order to further understand the structural richness of BiFeO 3 , Dieguez et al. (2011) conducted a systematic investigation of the stability of potential BiFeO 3 phases using first-principle methods. The results show a large number of metastable phases, which might explain the observation of a large number of HP and different phases reported.
The influence of impurities and defects on the HP behavior of BiFeO 3 has been investigated by Chen et al. (2012). Badoped BiFeO 3 (Bi 1Àx Ba x FeO 3À0.5x ) has been compressed to 18.7 GPa and significant changes in the compression behavior, the phase transition pressure and the phase sequence have been reported compared with pure BiFeO 3 , observing a similar phase sequence, R3c ! C2/m ! Pnma, as .
3.1.2. Rare-earth manganite, RMnO 3 (R = Gd, Tb, Dy, Ho, La, Y, Lu, Tm, Sc, Dy). Rare-earth manganites show a complex correlation between structural, electric and magnetic properties, which can be manipulated by exchanging the rare-earth ions. As of now, MF properties have only been reported for a subset of the rare-earth manganites and only a few have been characterized at high pressure.
The HP behavior of TbMnO 3 was investigated by X-ray diffraction and X-ray absorption spectroscopy (XAS). A continuous decrease in the Jahn-Teller distortion as well as a decrease in the tilt angles of the MnO 6 octahedra was observed with increasing pressure. XAS measurements show a shift of the Mn K-edge to higher energies while the pre-edge feature shifts to lower energies with pressure. Chen et al. (2009) interpret this as a broadening of the electronic band width of the e g " orbitals in TbMnO 3 . Chou et al. (2013) investigated the response of the local and electronic structure of DyMnO 3 to pressure by Raman spectroscopy, XAS and XES measurements. A decrease of the Jahn-Teller distortion of the MnO 6 octahedra in combination with the gradual breakdown of the high-spin magnetism is detected at P = 32 GPa, suggesting a potential HS to LS transition above 32 GPa. No structural phase transitions were detected in the investigated pressure range.
GdMnO 3 has been investigated to pressures of 63 GPa by X-ray diffraction (Lin, Zhang et al., 2012) and to pressures of 53 GPa by X-ray diffraction and Raman spectroscopy measurements (Oliveira et al., 2012). A reversible first-order phase transition has been observed at P ' 50 GPa. Based on the diffraction data Lin, Zhang et al. (2012) interpreted the transition as an isostructural orthorhombic to orthorhombic transition. From X-ray diffraction and Raman spectroscopy measurements, Oliveira et al. (2012) conclude that it is an insulator to metal transition with a change in symmetry from orthorhombic (Pnma) to cubic (P2 1 3).
Kozlenko and co-workers investigated the crystal and magnetic structure of hexagonal YMnO 3 (Kozlenko et al., 2008; and LuMnO 3  by simultaneous high-pressure and low-temperature neutron powder diffraction. The reduction of the in-plane splitting of the Mn-O bond with pressure has been identified as the potential reason for the observed enhanced spin fluctuations with increasing pressure in both compounds.  concluded that the reduction in Mn-O bond splitting with pressure implies a decrease in the magneto-elastic coupling strength. Wang et al. (2010) investigated the high-pressure behavior of hexagonal TmMnO 3 by X-ray powder diffraction experiments up to P = 28.6 GPa. A hexagonal to orthorhombic transition was detected at 10.2 GPa.
ErMnO 3 crystallizes in the hexagonal space group P6 3 cm. At P ' 20 GPa the structure undergoes an irreversible firstorder transition to the orthorhombic phase with space group Pbnm .
The structural stability of RMnO 3 (R = Y, Ho, Lu) at HP has been investigated by X-ray diffraction, synchrotron IR spectroscopy, XAS and ab-initio quantum mechanical calculations (Gao et al., 2011). YMnO 3 , HoMnO 3 and LuMnO 3 remain hexagonal up to P ' 20 GPa. Above 20 GPa the onset of a structural phase transition to orthorhombic symmetry has been observed. The IR measurements show that the O atoms feature articles are the most sensitive to pressure, with vibration modes mainly confined to the ab plane (Gao et al., 2011).
3.1.3. BiMnO 3 . A lot of work has been carried out on BiMnO 3 and HP characterization. The unit cell changes in BiMnO 3 with pressure were investigated by energy dispersive diffraction in the pressure range from ambient pressure to 27 GPa (Chi et al., 2008). The measurements showed no evidence of a structural phase transition. The DC magnetization was measured at pressures up to 1.6 GPa by Chou et al. (2008). T C = 100 K at ambient pressure and the signal associated with ferromagnetic behavior decreases with pressure and disappears at P = 1.31 GPa. A second peak in the susceptibility has been detected at 1.17 GPa and has been interpreted as an onset of a structural phase transition (Chou et al., 2008). These measurements were followed up by magnetic hysteresis and AC susceptibility to high pressure and low temperature . Three magnetic phase transitions have been detected at ambient pressure and 98 K, 0.87 GPa and 93 K, and 72.5 K and 0.87 GPa. The ambient pressure and 100 K transition can be characterized as a longrange ferromagnetic transition, being suppressed at high pressure and therefore not observed. The transition is accompanied by an anomaly below 90 K, which is attributed to a spin-glass behavior. The second transition is attributed to a long-range soft ferromagnetic to a canted state, while the third is characterized as a canted antiferromagnetic transition. Chou et al. (2009) suggest that both the canted ferromagnetic and the canted antiferromagnetic transition are caused by the structural phase change from C2/c to P2 1 /c, which has been observed by Belik et al. (2009b). This demonstrates the complex interplay between lattice distortion and spin configuration in multiferroic material. Belik et al. (2009b) reported two structural phase transitions at 0.9 and 8 GPa. The phase transition at 0.9 GPa has been characterized as a C2/c ! P2 1 /c transition, however, the structure of the new monoclinic HP phase could not be refined. At 8 GPa BiMnO 3 transforms to the non-ferroelectric GdFeO 3 -type structure with Pnma symmetry. The GdFeO 3 -type structure exhibits a strong Jahn-Teller distortion of the MnO 6 octahedra and long-range d(3y 2 À r 2 ) e g orbital ordering (Belik et al., 2009b). Kozlenko, Belik et al. (2010) conducted high-pressure neutron powder diffraction measurements on BiMnO 3 to 10 GPa and simultaneous high-pressure and low-temperature neutron diffraction experiments in the pressure region up to 2 GPa. The ferromagnetic ground state is suppressed at moderate pressures of 1 GPa at 90 K with a transition to an antiferromagnetic state with a propagation vector of k = ( 1 2 1 2 1 2 ) at 90 K. This change in magnetic state is accompanied by a monoclinic to monoclinic structural phase transition. The FM and AFM states coexist below pressures of 2 GPa (Kozlenko, Belik et al., 2010). Mei et al. (2010) explored the structural and elastic properties of BiMnO 3 by first principles calculations using LDA+U and GGA+U formalisms. The energies for the monoclinic (C2/c) phases and the orthorhombic (Pnma) phase were calculated as a function of pressure. The calculations, in contrast to the experimental results by Belik et al. (2009b), show that the orthorhombic phase is the stable structure at ambient pressure. A monoclinic to monoclinic phase transition is predicted at P = 10 GPa induced by a magnetic to volume instability in BiMnO 3 . Recently, Kozlenko et al. (2014) determined the phase diagram of BiMnO 3 to a pressure of 50 GPa and investigated the phase relationships as a function of temperature and pressure in the range T = 300-900 K from ambient pressure to 4 GPa using X-ray diffraction and Raman spectroscopy. Two new high-pressure phases with C2/m symmetry, but distinctly different structural parameters, have been identified at moderate pressures and temperatures, as had been previously suggested based on the results from firstprinciples calculations (Mei et al., 2010). The transition to the high temperature orthorhombic phase is suppressed to room temperature at 8 GPa, consistent with reports from Belik et al. (2009b). Above 20 GPa BiMnO 3 undergoes a phase transition from Pnma ! Imma, leading to a suppression of the longrange d(3y 2 À r 2 ) e g orbital ordering.
3.1.4. Cobaltite perovskites, ACoO 3 . Ming et al. (2009) studied the structural stability, and the magnetic and electronic properties of BiCoO 3 by first-principles calculations up to 30 GPa. The calculations reproduce the C-type antiferromagnetic structure as a ground state. At P = 4 GPa a first-order isostructural transition is observed, accompanied by a HS-LS spin-crossover of Co 3+ with an insulator to semimetal transition. The authors conclude that in contrast to the excluded models for insulator to metal transitions, the spincrossover effect at HP is the driving mechanism for the transition in BiCoO 3 . Oka et al. (2010) investigated the HP behavior of BiCoO 3 by synchrotron and neutron powder diffraction and X-ray emission spectroscopy. A first-order tetragonal, PbTiO 3 -type, to orthorhombic, GdFeO 3 -type, phase transition has been observed at P = 3 GPa, in contrast to the proposed isostructural tetragonal to tetragonal transition by Ming et al. (2009). The transition is accompanied by a HS to LS transition with an intermediate spin state present at the transition as determined from XES data.
3.1.5. PbNiO 3 . As already mentioned, two synthesized polymorphs of PbNiO 3 can be obtained by HP/HT synthesis, with a perovskite-type and a LiNbO 3 -type structure . The unit-cell volume for LiNbO 3 and the perovskite-type polymorph suggest that the perovskite type might be a high-pressure polymorph of the LiNbO 3 -type PbNiO 3 . The LiNbO 3 -type PbNiO 3 undergoes a pressureinduced phase transition to a GdFeO 3 -type structure, space group Pnma, at about 3 GPa. In both polytypes the magnetic interaction of the Ni 2+ is antiferromagnetically dominated by the Ni-O distances rather than the Ni-O-Ni angles. XPS measurements suggest Pb 4+ , Ni 2+ valence states for both polymorphs. Hao et al. (2014) performed first principles calculation using the GGA, GGA+U and Heyd-Scuseria-Ernzerhof (HSE) approaches. The observed pressure-induced phase transition  from R3c to Pnma is reproduced, although at a slightly higher transition pressure of about 5 GPa. The orthorhombic HP phase shows a considerable anisotropy of the nearest-neighbor exchange couplings.
3.1.6. BiNiO 3 . Azuma et al. (2007) investigated the highpressure behavior of BiNiO 3 by neutron diffraction experi-ments in combination with electronic-state calculations using first principles with the LDA+U approach. At 4 GPa a pressure-induced phase transition from the P 1 1 to GdFeO 3 -type structure, with space group Pbnm, has been observed. Calculation of the changes in electronic structure with pressure suggest that the pressure-induced phase transition is an insulator to metal transitions which occurs via simultaneous melting of the Bi charge disproportion and charge transfer from Ni to Bi.

MF materials with non-perovskite structure
Recently, the search for MFs has expanded to materials that crystallize in other structure types than the perovskite-type structure and to chemical compositions beyond 'simple' oxides such as transition metal oxyhalides, germanates and silicates, transition metal orthotellurides and transition metal chalcogenides. These materials are relatively new and none of them require HP/HT synthesis, but a few have been investigated in situ at high pressure.
3.2.1. MnWO 4 . MnWO 4 crystallizes in the wolframite structure (space group P2/c with Z = 2) and is ferroelectric showing incommensurate helical spin-density waves (Taniguchi et al., 2006). The pressure dependence of the dielectric properties up to pressures of 1.8 GPa has been measured by Chaudhury, Yen et al. (2008). Pressure suppresses the ferroelectric polarization in the ferroelectric phase suggesting that the stability of the ferroelectric phase is reduced by increasing the pressure. The structural changes in MnWO 4 with pressure have been investigated to 8 GPa and the compression mechanism has been derived from X-ray diffraction data (Macavei & Schulz, 1993). Ab initio quantum mechanical calculations (Ló pez-Moreno et al., 2009) confirm the experimentally determined compression behavior of MnWO 4 (Macavei & Schulz, 1993) and suggest no structural phase transition in the pressure range from ambient pressure to 31 GPa. The calculated magnetic moment decreases with pressure confirming the results from Chaundhury, Yen et al. (2008). Recently, Dai et al. (2013) determined the pressure and temperature behavior of MnWO 4 by Raman scattering. Changes in the Raman spectrum at P = 17.7 GPa at ambient temperature were interpreted as a monoclinic to triclinic structural phase transition.
3.2.2. CuCrO 2 . CuCrO 2 crystallizes in the delafossite-type structure (space group R 3 3m) and shows multiferroic properties below T N = 24 K, at which the magnetic moments ordered into a proper screw-type spiral structure (Seki et al., 2008;Kimura et al., 2008). The Cr 3+ ions in the structure are arranged in triangular planes, which are stacked along the c axis. Spin frustration occurs on the triangular planes, leading to a degree of freedom of spin chirality in the magnetic screwtype spiral structure. The spin chirality allows a relaxation of the spin frustration and therefore has a stabilizing effect on the structure. A p-d hybridization model can be used to fully describe the ferroelectricity in conjunction with the screw spiral ordering (Arima, 2007). Aoyama et al. (2013) investigated the evolution of the crystal structure, magnetism and spin-driven ferroelectricity in CuCrO 2 up to pressures of 10 GPa. The temperature T N of the transition to the spinspiral ferroelectric ordering in CuCrO 2 increases with pressure. The magnitude of the dielectric anomaly at T N is suppressed with increasing pressure and the spontaneous polarization is completely suppressed at about 8 GPa (Aoyama et al., 2013). Aoyama et al. (2013) attribute the ferroelectric antiferroelectric transitions to a shortening of the Cr-interlayer distances, which leads to an increase in the interlayer exchange integral with elevated pressure. The observed increase in the size of the field for the polarization reversal with pressure can be attributed to a rearrangement in the magneto-electric domains (Aoyama et al., 2013).
3.2.3. Ba 3 TaFe 3 Si 2 O 14 . Ba 3 TaFe 3 Si 2 O 14 , a member of the langasite family, crystallizes in the trigonal space group P321 with one formula unit per unit cell (Lyubutin et al., 2010). Gavriliuk et al. (2013) investigated the pressure and temperature behavior of Ba 3 TaFe 3 Si 2 O 14 up to P = 38 GPa and down to T = 20 K by Nuclear Forward Scattering (NFS) and Raman spectroscopy. At P = 19.5 GPa a first-order pressure-induced phase transition has been observed. The transition is accompanied by a magnetic change with a fourfold increase in Né el temperature T N from 27.2 to 120 K (Gavriliuk et al., 2013). The authors suggest a strong superexchange interaction caused by changes in the bond angles as an explanation for the strong pressure dependence of the Né el temperature.
3.2.4. Mn 2 GeO 4 . Recently, multiferroic properties have been reported in Mn 2 GeO 4 , a compound that crystallizes in the orthorhombic (space group Pnma) olivine-type structure (Creer & Troup, 1970). At low temperature, Mn 2 GeO 4 undergoes three antiferromagnetic (AFM) phase transitions at T N1 = 47 K > AFM1 > T N2 = 17 K > AFM2 > T N3 = 5.5 K > AFM3 (White et al., 2012;Volkov et al., 2013;Honda et al., 2012). The transitions are characterized by a change in the magnetic moments of Mn 2+ . The AFM1 phase shows mainly an alignment of the moments along the a axis with a slight canting along the c axis, making AFM1 a weak ferromagnetic phase. The spins are oriented along the b axis in the AFM2 phase. The AFM3 phase exhibits spontaneous magnetization and electric polarization along the c axis, characteristic for a MF phase. The ferroelectricity originates from the formation of an incommensurate (IC) spin-spiral structure and the spontaneous magnetization arises from a canting of a commensurate (C) magnetic structure (White et al., 2012). Honda et al. (2014) investigated the effect of pressure on the magnetism and the multiferroicity of Mn 2 GeO 4 . The transition temperatures of the magnetic transitions change monotonically with increasing pressure. The change in transition temperature T N1 [dT N1 /dp = 0.046 (3) GPa À1 ] can be described by a classical Heisenberg exchange Hamiltonian model assuming the size of the superexchange interactions scale proportionally to the power À10/3 of the volume (Honda et al., 2014). At 6 GPa the spin-driven ferroelectricty in the AFM3 phase disappears. High-pressure neutron diffraction experiments observed a shift of the IC magnetic peak towards a C position with increasing pressure (Honda et al., 2014). Therefore, the suppression of the spin-driven ferroelectricity in the AFM3 phase at 6 GPa is attributed to an IC-C phase transition.
3.2.5. FeTe 2 O 5 Br. A relatively new class of MF materials is the group of transition metal oxohalides (Choi et al., 2014). The incorporation of lone-pair cations and halides provides exchange pathways, which lead to magnetic frustration in these materials (Bos, Colin & Palstra, 2008;Lawes et al., 2003;Pregelj et al., 2009;Zaharko et al., 2006;Zhang, Kremer et al., 2011). FeTe 2 O 5 Br is not only a magnetically but also a geometrically frustrated system as well. The HP behavior of FeTe 2 O 5 Br has been investigated by Raman and optical absorption spectroscopy up to P = 7 GPa (Gnezdilov et al., 2011;Choi et al., 2014). Both, the Raman spectroscopy and the optical absorption measurements show evidence of a structural phase transition between 2.12 and 3.04 GPa. The HP phase exhibits an increased uniformity in the bonding forces, compared with the highly anisotropic ambient pressure phase. The anisotropic Fe(3d) orbitals start to overlap with the Br(4s) and O(2p) orbitals, changing from a two-dimensional electronic structure at ambient conditions to a three-dimensional electronic structure at HP.
3.2.6. HgCr 2 S 4 . HgCr 2 S 4 belongs to the large group of thiospinels and crystallizes in the space group Fd 3 3m at ambient conditions Weber et al., 2006). The compound exhibits both ferromagnetic and ferroelectric properties together with a pronounced magnetocapacitive coupling with a bond-frustrated magnetic ground state . The ferroelectricity in the chromium thiospinel family is caused by a dynamic disorder of the Cr 3+ ions, which induces an off-center shift of the Cr 3+ ions and a change in symmetry of the local structure to the polar space group F4 3 3m (Gnezdilov et al., 2011). The HP behavior of HgCr 2 S 4 has been investigated by a combination of X-ray powder diffraction measurements and band structure calculations based on the Linear-Muffin-Tin Orbital method (Efthimiopoulos et al., 2013). Two structural phase transitions have been observed at P = 20 and 26 GPa, respectively. At 20 GPa HgCr 2 S 4 undergoes a reversible first-order cubic to tetragonal transition from the space group Fd 3 3m to I4 1 /amd. The phase transition has an insulator to metal character and is accompanied by a change in the magnetic state to an antiferromagnetic one and the loss of ferroelectric properties. A second-order phase transition to an orthorhombic structure, most likely with Imma space group, has been reported at 26 GPa. Based on the diffraction data Efthimiopoulos et al. (2013) proposed a third phase transition at P ' 37 GPa. However, strong peak overlap between gasket, the orthorhombic phase and the potentially new HP phase prevented the detailed characterization of this phase.

Conclusions
The search for intrinsic magneto-electric MF compounds with the co-existence and coupling of magnetic and electric order in the same phase remains challenging despite large efforts in the scientific community. Most currently known intrinsic MF only exhibit very small magneto-electric coupling at low temperature, while for technological applications they are required to show large magneto-electric effects at ambient conditions. Therefore, it is paramount to broaden the search for MF materials to new classes of materials and to new synthesis techniques.
The HP/HT synthesis has proven to be a powerful tool for the stabilization of metastable HP phases with MF properties. The majority of these new phases crystallize in the perovskite or perovskite-related structure. The investigation of MF materials in situ at high pressure and temperature has provided valuable insight into the coupling between electric, magnetic and structural properties. Especially experiments at non-hydrostatic conditions can in the future lead to the identification of possible high-pressure MF phases that could be stabilized at ambient conditions as highly strained thin films.
Despite the promising results obtained so far, the currently employed high-pressure techniques have intrinsic shortcomings, such as comparatively long synthesis times, relatively small sample sizes and vast parameter space in pressure, temperature and composition that needs to be explored. However, these limitations can be overcome by a concerted effort between theory (e.g. structure prediction), which could potentially allow targeted synthesis at pressure and temperature, and the development of new HP synthesis and characterization approaches.
The availability of such new and more sophisticated synthesis and characterization techniques, combined with theoretical approaches, could lead to an enormous increase in our fundamental understanding of MF materials and potentially to widespread technological applications.