Magnetic Domains in Thin Ferromagnetic Films with Strong Perpendicular Anisotropy

Document Type

Article

Publication Date

5-2-2019

Abstract

We investigate the scaling of the ground state energy and optimal domain patterns in thin ferromagnetic films with strong uniaxial anisotropy and the easy axis perpendicular to the film plane. Starting from the full three-dimensional micromagnetic model, we identify the critical scaling for which the transition from single domain to multidomain ground states such as bubble or maze patterns occurs as the film thickness goes to zero and the lateral extent goes to infinity. Furthermore, we analyze the asymptotic behavior of the energy in these two asymptotic regimes. In the single domain regime, the energy Γ-converges towards a much simpler two-dimensional and local model. In the multidomain regime, we derive the scaling of the minimal energy and deduce a scaling law for the typical domain size.

Identifier

85056283197 (Scopus)

Publication Title

Archive for Rational Mechanics and Analysis

External Full Text Location

https://doi.org/10.1007/s00205-018-1332-3

e-ISSN

14320673

ISSN

00039527

First Page

727

Last Page

761

Issue

2

Volume

232

Grant

DMS-1313687

Fund Ref

Nanjing Institute of Technology

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