Effects of Disorder in a Single-site anisotropic XY ferromagnet: A Monte Carlo study

TL;DR

This study uses Monte Carlo simulations to explore how different types of disorder affect phase transitions in a three-dimensional anisotropic XY ferromagnet, revealing how disorder influences transition temperatures and critical behavior.

Contribution

It introduces a detailed Monte Carlo analysis of disorder effects in anisotropic XY ferromagnets, including anisotropy randomness and quenched fields, with new insights into transition temperature shifts and critical exponents.

Findings

Transition temperature increases with constant anisotropy strength.

Random anisotropy lowers the ordering temperature.

Quenched random fields decrease the transition temperature.

Abstract

We perform Monte Carlo simulation to study the effects of random disorder on equilibrium phase transition of three-dimensional single-site anisotropic XY ferromagnet. The disorder is incorporated in two ways; having a randomly distributed anisotropy and presence of a quenched random field. The ferro-para transition temperature has been found to increase with the increase of the strength of constant (over the space) anisotropy. In contrast, the system gets ordered at lower temperatures if the anisotropy has random distribution. The effects of quenched random fields are also studied in single-site anisotropic XY ferromagnet. The transition temperature reduces due to the presence of quenched random field. The compensating field (the required amount of field which preserves the critical temperature for isotropic XY ferromagnet) linearly depends on the strength of constant single-site anisotropy. We compute the magnetic and susceptibility exponent ratios for constant single-site anisotropic XY system only via detailed finite-size scaling analysis.