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

Abstract

We study theoretically the structure of domain walls in ferromagnetic states on M\obius 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 M\obius 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.