Hysteresis in Random Field XY and Heisenberg Models: Mean Field Theory and Simulations at Zero Temperature

TL;DR

This paper investigates zero temperature hysteresis in random field XY and Heisenberg models using mean field theory and lattice simulations, revealing unusual hysteresis features and comparing theoretical predictions with numerical results.

Contribution

It provides exact mean field expressions for hysteresis loops in these models and compares them with lattice simulation results at zero temperature.

Findings

Mean field theory predicts unusual hysteresis features.

Simulations on cubic lattices show qualitative agreement with mean field predictions.

The study enhances understanding of hysteresis in disordered spin systems.

Abstract

We examine zero temperature hysteresis in random field XY and Heisenberg models in the zero frequency limit of a cyclic driving field. Exact expressions for hysteresis loops are obtained in the mean field approximation. These show rather unusual features. We also perform simulations of the two models on a simple cubic lattice and compare them with the predictions of the mean field theory.