Phase transitions and thermodynamic properties of the antiferromagnetic Potts model on a face-centered cubic lattice

Albert Babaev,Akai Murtazaev,Alexey Proshkin,Felix Kassan-Ogly,N Perov,A Semisalova

doi:10.1051/epjconf/201818511008

Abstract

Using the Monte Carlo method we investigate the phase transitions and thermodynamic properties of magnetic structures with noncollinear directions of magnetic moments corresponded to antiferromagnetic q=4 Potts model on a face-centered cubic lattice. Monte Carlo simulations are performed on lattices with linear sizes L=20÷44. Thermodynamic parameters: the order parameter mAF, susceptibility χ, internal energy U, and specific heat C are evaluated for all studied systems. By employing the fourth order Binder cumulant method, a first order transition is shown to be occurred in the model.

Highlights

There exists at present a rich body of the experimental material on magnetic substances with crystalline structure and properties of AnX-type compounds with the NaCl structure
Multi-k structures with wave vectors comprised more than one component (2-k structures for two-component wave vector and 3-k structures for three-component vector) were proposed
The interpretation of USb neuronography is in a better agreement with experimental data of a 3-k structure than a collinear model

Summary

Introduction

There exists at present a rich body of the experimental material on magnetic substances with crystalline structure and properties of AnX-type compounds with the NaCl structure. The interpretation of USb neuronography is in a better agreement with experimental data of a 3-k structure than a collinear model. The investigation of phase transitions (PTs) and thermodynamic properties of the 4-state antiferromagnetic (AF) Potts model is the main goal of this study.

Results

Conclusion