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

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.

Automated summary

In this paper, we propose a novel micromagnetic standard problem for calculating the coercive field required to unpin a domain wall at the interface of a multiphase magnet. This problem is sensitive to discontinuities in material parameters such as the exchange interaction, uniaxial anisotropy, and spontaneous magnetization. We derive an explicit treatment of the jump conditions at material interfaces for the exchange interaction in the finite-difference discretization. The micromagnetic simulation results are compared with analytical solutions, showing good agreement. The proposed standard problem is suitable for testing the implementation of both finite-difference and finite-element simulation codes.