High-field phase transitions in the orbitally ordered multiferroic GeV4S8

The high-field (H,T) phase diagram of the multiferroic lacunar spinel $\mathrm{Ge}{\mathrm{V}}_{4}{\mathrm{S}}_{8}$ has been studied by ultrasound, magnetization, and pyrocurrent experiments in magnetic fields up to 60 T. The title compound consists of molecular building blocks, with vanadium ${\mathrm{V}}_{4}$ clusters characterized by a unique electron density. These vanadium tetrahedra constitute a Jahn-Teller active entity, which drive an orbital-ordering transition at 30 K with the concomitant appearance of ferroelectricity. Ultrasound and magnetization experiments reveal sharp anomalies in magnetic fields of 46 T, which are associated with a first-order phase transition into an orbitally disordered state characterized by significant field and temperature hystereses. We report a sequence of complex magnetic, polar, and orbitally ordered states, i.e., the appearance of two orbitally ordered phases OO1 and OO2 for ${\ensuremath{\mu}}_{0}Hl45\phantom{\rule{0.16em}{0ex}}\mathrm{T}$ and $Tl30\phantom{\rule{0.16em}{0ex}}\mathrm{K}$. Beyond the paraelectric phase we further evidenced three ferroelectric phases, FE1, FE2, and FE3. Finally, antiferromagnetic (AFM) order $(Tl15\text{ K})$ and fully polarized ferromagnetic order $({\ensuremath{\mu}}_{0}Hg60\phantom{\rule{0.16em}{0ex}}\mathrm{T})$ have been observed in $\mathrm{Ge}{\mathrm{V}}_{4}{\mathrm{S}}_{8}$. At low temperatures and for fields below 40 T, AFM order coexists with the polar phase FE3 identifying a multiferroic state. Our results demonstrate a fascinating competition of the different orders, which the material manifests in high magnetic fields and at low temperatures.