Monte Carlo simulations in a disordered binary Ising model

TL;DR

This paper uses Monte Carlo simulations to analyze a disordered binary Ising model with mixed spins on a square lattice, exploring phase transitions and critical properties across different concentrations and temperatures.

Contribution

It introduces a Monte Carlo approach to study critical behavior in a disordered binary Ising model with mixed spins, providing new insights into its phase transition characteristics.

Findings

Critical temperature dependence on concentration x

Magnetization and susceptibility behavior near phase transition

Identification of phase transition points using Binder cumulant

Abstract

In this work we study a disordered binary Ising model on the square lattice. The model system consists of two different particles with spin-1/2 and spin-1, which are randomly distributed on the lattice. It has been considered only spin nearest-neighbor exchange interactions with $J>0$. This system can represent a disordered magnetic binary alloy $A_{x}B_{1-x}$, obtained from the high temperature quenching of a liquid mixture. The results were obtained by the use of Monte Carlo simulations for several lattice sizes $L$, temperature $T$ and concentration $x$ of ions $A$ with spin-1/2. We found its critical temperature, through the reduced fourth-order Binder cumulant for the several values of the concentration $x$ of particles (spin-1/2, spin-1), and also the magnetization, the susceptibility and the specific heat as a function of temperature $T$.