1207.2119 (Minos A. Neto et al.)

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

Minos A. Neto, J. Ricardo de Sousa

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.

View original: http://arxiv.org/abs/1207.2119