Instantaneous Configurations of the Bloch Walls in a Two-Dimensional and s=1/2 Model

TL;DR

This paper investigates the fractal structures of instantaneous 180-degree domain walls in a 2D S=1/2 Ising model, revealing how their fractal dimension varies with temperature and coupling parameters.

Contribution

It demonstrates that domain walls exhibit fractal structures with a temperature-dependent fractal dimension, linking microscopic configurations to classical scaling theory.

Findings

Fractal dimension depends on coupling parameters.

Wall thickness near Tc shows classical scaling.

Fractal structures vary continuously with temperature.

Abstract

We show that instantaneous configurations of 180 degree domain walls constructed on a square lattice in a two-dimensional and S=1/2 Ising-type model exhibit fractal structure. The fractal dimension depends on the coupling parameters and it is a continious function of the temperature. The wall thickness in the neighbourhood of Tc presents scaling properties in good agreement with the classical theory by Landau.