Towards a more analytic understanding of the pinning of domain walls in high-temperature permanent magnets

Abstract

We discuss analytic results for the depinning of domain walls based on different models for wall pinning in permanent magnets. We propose an explanation for the different temperature dependences of the coercive field for repulsive and attractive pinning potential when the pinning boundary forms an array of pyramids and suggest that the switching dynamics are different in the two regimes. This may be tested experimentally by magnetic viscosity measurements on samples with different Cu contents. We also found analytically that when the pinning boundary forms an array of cubes, the coercive field always decreases no matter whether the pinning potential is repulsive or attractive. This is confirmed by Monte Carlo simulations.