Analytical Studies of the Magnetic Domain Wall Structure in the presence of Non-uniform Exchange Bias

TL;DR

This paper presents an analytical study of magnetic domain wall structures influenced by non-uniform exchange bias, revealing asymmetric profiles and analyzing key properties like stability and depinning fields.

Contribution

The paper introduces a new analytical solution for domain wall spin configurations that accounts for asymmetry caused by non-uniform exchange bias, expanding understanding beyond traditional symmetric models.

Findings

Asymmetric domain wall spin profiles can occur with non-uniform exchange bias.

Analytical expressions for domain wall position, width, and stability are derived.

Depinning field characteristics are analytically discussed.

Abstract

The pinning phenomena of the domain wall in the presence of exchange bias is studied analytically. The analytic solution of the domain wall spin configuration is presented. Unlike the traditional solution which is symmetric, our new solution could exhibit the asymmetry of the domain wall spin profile. Using the solution, the domain wall position, its width, its stability, and the depinning field are discussed analytically.