Uniqueness of one-dimensional Néel wall profiles

Document Type

Article

Publication Date

3-1-2016

Abstract

We study the domain wall structure in thin uniaxial ferromagnetic films in the presence of an in-plane applied external field in the direction normal to the easy axis. Using the reduced one-dimensional thinfilm micromagnetic model, we analyse the critical points of the obtained non-local variational problem. We prove that the minimizer of the one-dimensional energy functional in the form of the Néel wall is the unique (up to translations) critical point of the energy among all monotone profiles with the same limiting behaviour at infinity. Thus, we establish uniqueness of the one-dimensional monotone Néel wall profile in the considered setting. We also obtain some uniform estimates for general one-dimensional domain wall profiles.

Identifier

84963570030 (Scopus)

Publication Title

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

External Full Text Location

https://doi.org/10.1098/rspa.2015.0762

e-ISSN

14712946

ISSN

13645021

Issue

2187

Volume

472

Grant

1313687

Fund Ref

National Science Foundation

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