Spin flexoelectricity and chiral spin structures in magnetic films
A.P. Pyatakov, A.S. Sergeev, F.A. Mikailzade, and A.K. Zvezdin

TL;DR
This review explores how spin flexoelectricity relates to chiral magnetic phenomena in films, including skyrmion formation and domain wall motion, highlighting microscopic mechanisms and predicting electric-field-induced skyrmion creation.
Contribution
It provides a comprehensive analysis of spin flexoelectricity's role in chiral magnetic structures and introduces the concept of spin flexomagnetism, supported by microscopic models.
Findings
Electric-field-induced creation of a single skyrmion predicted
Analysis of microscopic mechanisms of spin flexoelectricity
Discussion of differences between spin flexoelectricity and spin flexomagnetism
Abstract
In this short review a broad range of chiral phenomena observed in magnetic films (spin cycloid and skyrmion structures formation as well as chirality dependent domain wall motion) is considered under the perspective of spin flexoelectricity, i.e. the relation between bending of magnetization pattern and electric polarization. The similarity and the difference between the spin flexoelectricity and the newly emerged notion of spin flexomagnetism is discussed. The phenomenological arguments based on the geometrical idea of curvature-induced effects are supported by analysis of the microscopic mechanisms of spin flexoelectricity based on three-site ion indirect exchange and twisted RKKY interaction models. The electric-field-induced creation of the single skyrmion is predicted.
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