Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions

Bernand-Mantel, A.; Muratov, C.B.; Simon, T.M.

Research article (journal) | Peer reviewed

Abstract

We present a theoretical study of compact magnetic skyrmions in ferromagnetic films with perpendicular magnetic anisotropy that accounts for the full stray field energy in the thin film and low interfacial Dzyaloshinskii-Moriya interaction (DMI) regime. In this regime, the skyrmion profile is close to a Belavin-Polyakov profile, which yields analytical expressions for the equilibrium skyrmion radius and energy. The obtained formulas provide a clear identification of DMI and long-range dipolar interaction as two physical mechanisms determining skyrmion size and stability.

Details about the publication

JournalPhysical Review B
Volume101
Issue4
Article number045416
StatusPublished
Release year2020
Language in which the publication is writtenEnglish
KeywordsDzyaloshinskii-Moriya interaction; Micromagnetism; Skyrmions; Ferromagnets;Thin films; Micromagnetic modeling

Authors from the University of Münster

Simon, Theresa

Talks on the publication

Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere
Simon, Theresa (05/10/2021)
CNA Seminar, Carnegie Mellon University, Pittsburgh, USA
Type of talk: scientific Talk
Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere
Simon, Theresa (22/09/2021)
Young Women in PDEs and Applications, Rheinische Friedrich-Wilhelms-Universtität Bonn, Bonn, Deutschland
Type of talk: scientific Talk
Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere
Simon, Theresa (13/07/2021)
HCM Workshop: Geometric and Applied Analysis, Rheinische Friedrich-Wilhelms-Universtität Bonn, Bonn, Deutschland
Type of talk: scientific Talk
Skyrmions and stability of degree 1 harmonic maps from the plane to the two-dimensional sphere
Simon, Theresa (26/05/2021)
SIAM Conference on Mathematical Aspects of Materials Science, Basque Center for Applied Mathematics, Bilbao, Spain
Type of talk: scientific Talk
Skyrmions and stability of degree ±1 harmonic maps from the plane to the two-dimensional sphere
Simon, Theresa (27/02/2020)
Arbeitsgemeinschaft Angewandte Analysis, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Deutschland
Type of talk: scientific Talk
Show all talks (6)