Dimensionality cross-over in magnetism: from domain walls (2D) to vortices (1D)

TL;DR

This paper predicts and experimentally confirms a second-order transition in micromagnetism from domain walls to vortices, characterized by a change in object dimensionality, using simulations and micron-sized flux-closure dots.

Contribution

It introduces the concept of dimensionality cross-over in micromagnetism and demonstrates a second-order transition between domain walls and vortices through simulation and experimental validation.

Findings

Second-order transition between domain walls and vortices

Simulation predicts transition based on wall length

Experimental confirmation with micron-sized flux-closure dots

Abstract

Dimensionality cross-over is a classical topic in physics. Surprisingly it has not been searched in micromagnetism, which deals with objects such as domain walls (2D) and vortices (1D). We predict by simulation a second-order transition between these two objects, with the wall length as the Landau parameter. This was conrmed experimentally based on micron-sized ux-closure dots.