One-dimensional in-plane edge domain walls in ultrathin ferromagnetic films

Document Type

Article

Publication Date

1-25-2018

Abstract

We study existence and properties of 1D edge domain walls in ultrathin ferromagnetic films with uniaxial in-plane magnetic anisotropy. In these materials, the magnetization vector is constrained to lie entirely in the film plane, with the preferred directions dictated by the magnetocrystalline easy axis. We consider magnetization profiles in the vicinity of a straight film edge oriented at an arbitrary angle with respect to the easy axis. To minimize the micromagnetic energy, these profiles form transition layers in which the magnetization vector rotates away from the direction of the easy axis to align with the film edge. We prove existence of edge domain walls as minimizers of the appropriate 1D micromagnetic energy functional and show that they are classical solutions of the associated Euler-Lagrange equation with a Dirichlet boundary condition at the edge. We also perform a numerical study of these 1D domain walls and uncover further properties of these domain wall profiles.

Identifier

85042548685 (Scopus)

Publication Title

Nonlinearity

External Full Text Location

https://doi.org/10.1088/1361-6544/aa96c8

e-ISSN

13616544

ISSN

09517715

First Page

728

Last Page

754

Issue

3

Volume

31

Grant

RPG-2014-226

Fund Ref

Christoffel Blinden Mission

This document is currently not available here.

Share

COinS