Magnetic properties and critical behavior of disordered Fe_{1-x}Ru_x alloys: a Monte Carlo approach

TL;DR

This study investigates the critical behavior of disordered Fe_{1-x}Ru_x alloys using Monte Carlo simulations, estimating critical exponents and temperatures, and comparing results with experimental data and theoretical models.

Contribution

It provides detailed Monte Carlo analysis of a disordered Ising model for Fe-Ru alloys, estimating critical parameters and validating some theoretical predictions.

Findings

Critical exponents align with 3D Ising model for x=0%

Disordered cases match transition behavior of dilute and ±J Ising models

Critical temperature estimates differ from experimental data

Abstract

We study the critical behavior of a quenched random-exchange Ising model with competing interactions on a bcc lattice. This model was introduced in the study of the magnetic behavior of Fe_{1-x}Ru_x alloys for ruthenium concentrations x=0%, x=4%, x=6%, and x=8%. Our study is carried out within a Monte Carlo approach, with the aid of a re-weighting multiple histogram technique. By means of a finite-size scaling analysis of several thermodynamic quantities, taking into account up to the leading irrelevant scaling field term, we find estimates of the critical exponents \alpha, \beta, \gamma, and \nu, and of the critical temperatures of the model. Our results for x=0% are in excellent agreement with those for the three-dimensional pure Ising model in the literature. We also show that our critical exponent estimates for the disordered cases are consistent with those reported for the transition line between paramagnetic and ferromagnetic phases of both randomly dilute and $\pm J$ Ising models. We compare the behavior of the magnetization as a function of temperature with that obtained by Paduani and Branco (2008), qualitatively confirming the mean-field result. However, the comparison of the critical temperatures obtained in this work with experimental measurements suggest that the model (initially obtained in a mean-field approach) needs to be modified.