Multiferroic spin-superfluid and spin-supersolid phases in MnCr2S4
Alexander Ruff, Zhaosheng Wang, Sergei Zherlitsyn, Joachim Wosnitza,, Stephan Krohns, Hans-Albrecht Krug von Nidda, Peter Lunkenheimer, Vladimir, Tsurkan, and Alois Loidl

TL;DR
This study investigates MnCr2S4, revealing multiple multiferroic phases including spin-superfluid and spin-supersolid, characterized by complex spin structures and significant ferroelectric polarization under high magnetic fields.
Contribution
It demonstrates the existence of multiferroic spin-superfluid and spin-supersolid phases in MnCr2S4, linking complex spin orderings with ferroelectricity using dielectric and pyrocurrent measurements.
Findings
Identification of multiferroic phases with sizable ferroelectric polarization.
Mapping of magnetic phases onto lattice-gas model including superfluid and supersolid.
Observation of field-dependent spin ordering patterns.
Abstract
Spin supersolids and spin superfluids reveal complex canted spin structures with independent order of longitudinal and transverse spin components. This work addresses the question whether these exotic phases can exhibit spin-driven ferroelectricity. Here we report the results of dielectric and pyrocurrent measurements of MnCr2S4 as function of temperature and magnetic field up to 60 T. This sulfide chromium spinel exhibits a Yafet-Kittel type canted spin structure at low temperatures. As function of external magnetic field, the manganese spins undergo a sequence of ordering patterns of the transverse and longitudinal spin components, which can be mapped onto phases as predicted by lattice-gas models including solid, liquid, super-fluid, and supersolid phases. By detailed dielectric and pyrocurrent measurements, we document a zoo of multiferroic phases with sizable ferroelectric…
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