Monte Carlo Studies of the Ising Antiferromagnet with a Ferromagnetic Mean-field Term

TL;DR

This paper investigates the thermodynamic behavior of an Ising antiferromagnet with an added ferromagnetic mean-field term, using Monte Carlo simulations to explore phase diagrams and compare methods.

Contribution

It introduces a simplified model inspired by spin-crossover materials and compares Monte Carlo techniques for phase diagram estimation.

Findings

Phase diagram estimated via Metropolis Monte Carlo.

Differences observed between Metropolis and Wang-Landau results for small systems.

Unusual thermodynamic properties identified in the model.

Abstract

The unusual thermodynamic properties of the Ising antiferromagnet supplemented with a ferromagnetic, mean-field term are outlined. This simple model is inspired by more realistic models of spin-crossover materials. The phase diagram is estimated using Metropolis Monte Carlo methods, and differences with preliminary Wang-Landau Monte Carlo results for small systems are noted.