Ferrotoroidic Moment as a Quantum Geometric Phase

2008/08/14 by Cristian D. Batista, C. D. Batista, Gerardo Ortíz +2 · 2 citations
Materials Science · Physics and Astronomy · #Multiferroics and related materials #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.101.077203

published as Physical Review Letters 101, 077203 (2008)

openalex publication_date 2008/08/14 · arxiv created 2008/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a geometric characterization of the ferrotoroidic moment \mathbit\ensuremathτ in terms of a set of Abelian Berry phases. We also introduce a fundamental complex quantity z_\ensuremathμ\ensuremathν, which provides an alternative way to calculate \mathbit\ensuremathτ and its moments and is derived from the tensor T_\ensuremathμ\ensuremathν=2\ensuremath∑_jr_j^\ensuremathμS_j^\ensuremathν. This geometric framework defines a natural computational approach for density functional and many-body theories.

Citations

• Revival of the magnetoelectric effect

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