Domain-wall structure of a classical Heisenberg ferromagnet on a Mobius strip

TL;DR

This paper investigates the structure and stability of domain walls in a classical Heisenberg ferromagnet on a Möbius strip, revealing temperature and field-dependent behaviors and discontinuities in magnetization.

Contribution

It introduces a mean-field approach to analyze domain walls in a Möbius geometry, identifying two types and their stability conditions under varying temperature and magnetic field.

Findings

Two types of domain walls can form: parallel and perpendicular to the circumference.

The stability of domain walls depends on temperature and magnetic field.

Magnetization exhibits discontinuities with changing temperature and external field.

Abstract

We study theoretically the structure of domain walls in ferromagnetic states on Mobius strips. A two-dimensional classical Heisenberg ferromagnet with single-site anisotropy is treated within a mean-field approximation by taking into account the boundary condition to realize the Mobius geometry. It is found that two types of domain walls can be formed, namely, parallel or perpendicular to the circumference, and that the relative stability of these domain walls is sensitive to the change in temperature and an applied magnetic field. The magnetization has a discontinuity as a function of temperature and the external field.