Phase diagrams of the transverse Ising antiferromagnet in the presence of the longitudinal magnetic field

TL;DR

This study investigates the phase diagrams of the two-dimensional transverse Ising antiferromagnet under longitudinal magnetic fields using effective-field theory, revealing only second-order phase transitions without reentrant behavior.

Contribution

It provides the first detailed phase diagrams of the 2D transverse Ising antiferromagnet with both longitudinal and transverse fields using EFT with correlation.

Findings

Only second-order phase transitions observed

Reentrant behavior was not found

Phase diagrams in H-T and Ω-T planes are mapped

Abstract

In this paper we study the critical behavior of the two-dimensional antiferromagnetic Ising model in both uniform longitudinal ($H$) and transverse ($\Omega $) magnetic fields. Using the effective-field theory (EFT) with correlation in single site cluster we calculate the phase diagrams in the $H-T$ and $\Omega -T$ planes for the square ($z=4$) lattices. We have only found second order phase transitions for all values of fields and reentrant behavior was not observed.