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Phase-space Berry phases in chiral magnets: Dzyaloshinskii-Moriya interaction and the charge of skyrmions

Frank Freimuth, Robert Bamler, Yuriy Mokrousov, and Achim Rosch
Phys. Rev. B 88, 214409 – Published 11 December 2013

Abstract

The semiclassical motion of electrons in phase space x=(R,k) is influenced by Berry phases described by a six-component vector potential A=(AR,Ak). In chiral magnets, Dzyaloshinskii-Moriya (DM) interactions induce slowly varying magnetic textures (helices and skyrmion lattices) for which all components of A are important, inducing effectively a curvature in mixed position and momentum space. We show that for smooth textures and weak spin-orbit coupling, phase-space Berry curvatures determine the DM interactions and give important contributions to the charge. Using ab initio methods, we calculate the strength of DM interactions in MnSi in good agreement with experiment and estimate the charge of skyrmions.

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  • Received 5 September 2013

DOI:https://doi.org/10.1103/PhysRevB.88.214409

©2013 American Physical Society

Authors & Affiliations

Frank Freimuth1,*, Robert Bamler2, Yuriy Mokrousov1, and Achim Rosch2

  • 1Peter Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany
  • 2Institute for Theoretical Physics, Universität zu Köln, D-50937 Köln, Germany

  • *f.freimuth@fz-juelich.de

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Issue

Vol. 88, Iss. 21 — 1 December 2013

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