Monte Carlo simulation of the effects of higher order anisotropy on the spin reorientation transition in the two dimensional Heisenberg model with long range interactions

TL;DR

This study uses Monte Carlo simulations to explore how higher order anisotropies influence spin reorientation and phase transitions in a 2D Heisenberg model with long-range interactions, revealing significant effects on magnetic properties.

Contribution

The paper introduces a GPU-accelerated stream processing technique for efficient Monte Carlo simulations of 2D dipolar systems with anisotropy effects.

Findings

Anisotropy order affects cone angle and planar magnetization.

Higher order anisotropies can enhance or suppress spin reorientation.

GPU-based computation accelerates simulation of long-range interactions.

Abstract

The strength of perpendicular anisotropy is known to drive the spin reorientation in thin magnetic films. Here we consider the effect different order anisotropies have on two phase transitions; the spin reorientation transition and the orientational order transition. We find that the relative magnitude of different order anisotropies can significantly enhance or suppress the degree to which the system reorients. Specifically Monte Carlo simulations reveal significant changes in the cone angle and planar magnetization. In order to facilitate rapid computation we have developed a stream processing technique, suitable for use on GPU systems, for computing the transition probabilities in two dimensional systems with dipole interactions.