Analytical and Monte Carlo study of two antidots in magnetic nanodisks with vortex-like magnetization

TL;DR

This paper investigates how two antidots influence the stability and pinning of vortex-like magnetization in magnetic nanodisks through analytical and Monte Carlo methods, revealing bistable states and hysteresis effects.

Contribution

It provides a combined analytical and simulation study of vortex pinning in nanodisks with antidots, highlighting bistability and hysteresis phenomena.

Findings

Vortex states can be bistable when pinned around antidots.

Hysteresis loops indicate vortex pinning mechanisms.

Results align qualitatively with experimental and micromagnetic data.

Abstract

How stable vortex-like magnetization in magnetic nanodisks with small aspect ratio ($L/R<<1$) is affected by two antidots is investigated analytically and by Monte Carlo simulations. For suitable ranges of the physical parameters this vortex presents bistable states when pinned around the antidots. The hysteresis loop obtained shows a central loop associated to the pinning mechanism of the vortex at the antidots. Our results agree qualitatively well with those provided by experiments and micromagnetic simulations.