Diluted planar ferromagnets: nonlinear excitations on a non-simply connected manifold

TL;DR

This paper investigates the behavior of magnetic vortices on a non-simply connected 2D manifold, revealing potential vortex-induced interactions in diluted planar ferromagnets with impurities.

Contribution

It introduces a continuum model for vortices on non-simply connected surfaces and explores vortex interactions influenced by topology and impurities.

Findings

Effective attractive vortex interactions due to topology.

Simulations support continuum model predictions.

Implications for magnetic impurity behavior in ferromagnets.

Abstract

We study the behavior of magnetic vortices on a two-dimensional support manifold being not simply connected. It is done by considering the continuum approach of the XY-model on a plane with two disks removed from it. We argue that an effective attractive interaction between the two disks may exist due to the presence of a vortex. The results can be applied to diluted planar ferromagnets with easy-plane anisotropy, where the disks can be seen as nonmagnetic impurities. Simulations are also used to test the predictions of the continuum limit.