Electric toroidal octupolar symmetry in pyrite FeS$_2$ probed by Raman optical activity

Fuente: arXiv
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Main Authors: Suganuma, Yuki, Kusuno, Gakuto, Watanabe, Hikaru, Oiwa, Rikuto, Mori, Hitoshi, Arita, Ryotaro, Satoh, Takuya
Format: Preprint
Published: 2026
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author Suganuma, Yuki
Kusuno, Gakuto
Watanabe, Hikaru
Oiwa, Rikuto
Mori, Hitoshi
Arita, Ryotaro
Satoh, Takuya
author_facet Suganuma, Yuki
Kusuno, Gakuto
Watanabe, Hikaru
Oiwa, Rikuto
Mori, Hitoshi
Arita, Ryotaro
Satoh, Takuya
contents We report Raman optical activity in pyrite FeS$_2$, which hosts an electric toroidal octupolar symmetry. A clear and reproducible sign reversal of the circular intensity difference is observed between neighboring $\{111\}$ faces under cross-circular polarization. The signal appears only for the doubly degenerate $E_g$ phonon mode and is absent for other modes, consistent with symmetry analysis. First-principles calculations reproduce these features, establishing Raman optical activity as a probe of higher-rank axial multipolar symmetry.
format Preprint
id arxiv_https___arxiv_org_abs_2603_21756
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Electric toroidal octupolar symmetry in pyrite FeS$_2$ probed by Raman optical activity
Suganuma, Yuki
Kusuno, Gakuto
Watanabe, Hikaru
Oiwa, Rikuto
Mori, Hitoshi
Arita, Ryotaro
Satoh, Takuya
Materials Science
We report Raman optical activity in pyrite FeS$_2$, which hosts an electric toroidal octupolar symmetry. A clear and reproducible sign reversal of the circular intensity difference is observed between neighboring $\{111\}$ faces under cross-circular polarization. The signal appears only for the doubly degenerate $E_g$ phonon mode and is absent for other modes, consistent with symmetry analysis. First-principles calculations reproduce these features, establishing Raman optical activity as a probe of higher-rank axial multipolar symmetry.
title Electric toroidal octupolar symmetry in pyrite FeS$_2$ probed by Raman optical activity
topic Materials Science
url https://arxiv.org/abs/2603.21756