Hysteresis behaviors of a spin-1 anisotropic Heisenberg model

TL;DR

This paper investigates the hysteresis behaviors of a spin-1 anisotropic Heisenberg model using effective field theory, revealing double hysteresis loops at low temperatures and negative crystal fields, and analyzing how anisotropy influences these phenomena.

Contribution

It introduces a detailed analysis of hysteresis behaviors in a spin-1 anisotropic Heisenberg model, highlighting the conditions for double hysteresis loops and their dependence on anisotropy and crystal field.

Findings

Double hysteresis loops occur at low temperatures and negative crystal fields.

The double hysteresis behavior disappears with decreasing exchange anisotropy.

Physical explanations for the hysteresis behaviors are provided.

Abstract

The hysteresis behaviors of anisotropic S-1 Heisenberg model have been studied within the effective field theory with two spin cluster. After giving the phase diagrams, the effect of the crystal field and anisotropy in the exchange interaction on the hysteresis loops have been determined. One important finding is double hysteresis loop behavior of the system in the low temperature and negative crystal field region, which disappears with the decreasing anisotropy in the exchange interaction. This behavior was carefully investigated and physical explanation has also been given.