Magnon Topological Transition in Skyrmion Crystal

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Abstract

We study the magnon spectrum in skyrmion crystal formed in thin ferromagnetic films with Dzyaloshinskii–Moriya interaction in presence of magnetic field. Focusing on two low-lying observable magnon modes and employing stereographic projection method, we develop a theory demonstrating a topological transition in the spectrum. Upon the increase in magnetic field, the gap between two magnon bands closes, with the ensuing change in the topological character of both bands. This phenomenon of gap closing, if confirmed in magnetic resonance experiments, may deserve further investigation by thermal Hall conductivity experiments.

About the authors

V. E. Timofeev

Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute;St. Petersburg State University

Email: victor.timofeev@thd.pnpi.spb.ru
188300, Gatchina, Russia;199034, St. Petersburg, Russia

Yu. V. Baramygina

Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute;St. Petersburg State University

Email: victor.timofeev@thd.pnpi.spb.ru
188300, Gatchina, Russia;199034, St. Petersburg, Russia

D. N. Aristov

Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute;St. Petersburg State University

Author for correspondence.
Email: victor.timofeev@thd.pnpi.spb.ru
188300, Gatchina, Russia;199034, St. Petersburg, Russia

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