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

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.

References in corpus (1)

• The antiferromagnetic Ising chain in a mixed transverse and longitudinal magnetic field

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