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Ferroaxial transitions in glaserite-type compounds; Database screening, phonon calculations, and experimental verification

Yamagishi, Shigetada*; Hayashida, Takeshi*; Misawa, Ryusuke*; Kimura, Kenta*; Hagihara, Masato   ; Murata, Tomoki*; Hirose, Sakyo*; Kimura, Tsuyoshi*

The so-called "ferroaxial transition" characterized by a rotational structural distortion that breaks a mirror symmetry has gained growing interest in terms of a new class of ferroic state in crystalline materials. RbFe(MoO$$_{4}$$)$$_{2}$$ which belongs to glaserite-type compounds, X□;1 Y□;2 [M(TO$$_{4})_{2}$$], is one of the most representative materials showing a ferroaxial transition, i.e., ferroaxial materials. Considering a variety of glaserite-type compounds, we expect that they provide a good arena for ferroaxial materials. In this work, we explored new ferroaxial materials by formula-based screening using regular expression search and symmetry detection algorithm. As a result, we found that a glaserite-type compound, K$$_{2}$$Zr(PO$$_{4}$$)$$_{2}$$, is one of the promising candidates for ferroaxial materials. Experimentally, we demonstrate that K$$_{2}$$Zr(P O$$_{4}$$)$$_{2}$$ shows a ferroaxial transition at about 700 K, which is well explained by ab initio phonon calculations. The ferroaxial nature of K$$_{2}$$Zr(PO$$_{4}$$)$$_{2}$$ is further confirmed by the observation of its domain structures using a linear electrogyration effect, that is, optical rotation in proportion to an applied electric field. Our work provides an effective approach to exploring ferroaxial materials.

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