Proposal for a micromagnetic standard problem: domain wall pinning at phase boundaries

TL;DR

This paper introduces a new micromagnetic standard problem focused on domain wall pinning at phase boundaries, providing a benchmark for simulation code validation and comparing numerical results with analytical solutions.

Contribution

It presents a novel standard problem for micromagnetic simulations involving domain wall unpinning at interfaces, including explicit jump conditions for finite-difference methods.

Findings

Simulation results agree well with analytical solutions.

The problem effectively tests finite-difference and finite-element codes.

It highlights the impact of material parameter discontinuities.

Abstract

We propose a novel micromagnetic standard problem calculating the coercive field for unpinning a domain wall at the interface of a multiphase magnet. This problem is sensitive to discontinuities in material parameters for the exchange interaction, the uniaxial anisotropy, and the spontaneous magnetization. We derive an explicit treatment of jump conditions at material interfaces for the exchange interaction in the finite-difference discretization. The micromagnetic simulation results are compared with analytical solutions and show good agreement. The proposed standard problem is well-suited to test the implementation of both finite-difference and finite-element simulation codes.