Monte-Carlo study of the reorientation transition in Heisenberg models with dipole interactions

TL;DR

This study uses Monte Carlo simulations to investigate the reorientation transition in a 2D Heisenberg model with long-range dipole interactions, revealing a first-order transition below the Curie temperature.

Contribution

It introduces a specialized algorithm for simulating long-range interactions and provides new evidence for the nature of the reorientation transition in this model.

Findings

Evidence for a first-order reorientation transition

Transition occurs below the Curie temperature

Algorithm effectively handles long-range dipole interactions

Abstract

We simulated the classical two-dimensional anisotropic Heisenberg model with full long range dipole interaction with an algorithm especially designed for long range models. The results show strong evidence for a first order reorientation transition at a temperature $T_R < T_C$ for appropriate parameters of the model Hamiltonian.