Monte Carlo simulations of an Ising bilayer with non-equivalent planes

TL;DR

This paper investigates the thermodynamic and magnetic behavior of an Ising bilayer ferrimagnet with non-equivalent planes, using Monte Carlo simulations to analyze compensation phenomena and compare with mean-field results.

Contribution

It provides a detailed Monte Carlo analysis of an Ising bilayer with non-equivalent planes, highlighting differences from mean-field predictions and exploring conditions for compensation effects.

Findings

Identification of compensation temperature dependence on parameters

Quantitative differences between Monte Carlo and mean-field results

Regions where compensation phenomenon occurs or is absent

Abstract

We study the thermodynamic and magnetic properties of an Ising bilayer ferrimagnet. The system is composed of two interacting non-equivalent planes in which the intralayer couplings are ferromagnetic while the interlayer interactions are antiferromagnetic. Moreover, one of the planes is randomly diluted. The study is carried out within a Monte Carlo approach employing the multiple histogram reweighting method and finite-size scaling tools. The occurrence of a compensation phenomenon is verified and the compensation temperature, as well as the critical temperature for the model, are obtained as functions of the Hamiltonian parameters. We present a detailed discussion of the regions of the parameter space where the compensation effect is present or absent. Our results are then compared to a mean-field-like approximation applied to the same model by Balcerzak and Sza{\l}owski (2014). Although the Monte Carlo and mean-field results agree qualitatively, our quantitative results are significantly different.