Band topology and dynamic multiferroicity induced from dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices

TL;DR

This paper introduces a theory of dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices, revealing their role in creating topological magnon-phonon excitations and dynamic multiferroicity with magnetoelectric properties.

Contribution

It develops a comprehensive theory of dDMI considering vibrations of all ions, linking band topology with dynamic multiferroicity via antisymmetric spin-lattice coupling.

Findings

Magnon-phonon hybridized topological excitations induced by dDMI

Presence of dynamic multiferroicity with finite toroidal moments

Connection between band topology and dynamic multiferroicity

Abstract

We develop a theory of a dynamical Dzyaloshinskii-Moriya interaction (dDMI) in centrosymmetric crystals by generally considering the vibration of both cations and anions. It gives rise to an antisymmetric spin-lattice coupling, inducing magnon-phonon hybridized topological excitations. Moreover, we find that this dDMI naturally exhibits a magnetoelectric feature, leading to the presence of dynamic multiferroicity with finite toroidal moment distribution in the momentum space. By comparing toroidal moments with band skyrmion structure, we reveal the intrinsic connection between band topology and dynamic multiferroicity through the dDMI.