The magnetic susceptibility on the transverse antiferromagnetic Ising model: Analysis of the reentrant behaviour

TL;DR

This paper investigates the reentrant behavior in the three-dimensional antiferromagnetic Ising model under combined magnetic fields using effective-field theory, revealing two susceptibility divergences indicating complex phase transitions.

Contribution

It provides a detailed analysis of reentrant phenomena in the 3D antiferromagnetic Ising model with transverse and longitudinal fields using EFT-1, confirming previous phase diagram results.

Findings

Identification of two divergences in magnetic susceptibility

Confirmation of reentrant phase behavior

Analysis consistent with prior phase diagram studies

Abstract

We study the three-dimensional antiferromagnetic Ising model in both uniform longitudinal ($H$) and transverse ($\Omega $) magnetic fields by using the effective-field theory with finite cluster $N=1$ spin (EFT-1). We analyzed the behavior of the magnetic susceptibility to investigate the reentrant phenomena we have seen the same phase diagram previously obtained in another papers. Our results shows the presence of two divergences in the susceptibility that indicates the existence of a reentrant behaviour.