Symmetry of Multiferroicity in a Frustrated Magnet TbMn$_2$O$_5$

Details Symmetry of Multiferroicity in a Frustrated Magnet TbMn$_2$O$_5$ Symmetry of Multiferroicity in a Frustrated Magnet TbMn$_2$O$_5$

2007-03-09

arxiv.org/abs/cond-mat/0703234v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

Based on measurements of soft x-ray magnetic scattering and symmetry considerations, we demonstrate that the magnetoelectric effect in TbMn$_2$O$_5$ arises from an internal field determined by $\vec{S}_{\vec{q}} \times {\vec{S}_{-\vec{q}}}$ with $\vec{S}_{\vec{q}}$ being the magnetization at modulation vector $\vec{q}$, whereas the magneto-elastic effect in the exchange energy governs the response to external electric fields. Our results set fundamental symmetry constraints on the microscopic mechanism of multiferroicity in frustrated magnets.

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