Physica Scripta

Reentrance in the phase diagrams of the transverse Ising antiferromagnet in the presence of the longitudinal magnetic field on a simple cubic lattice

Minos A. Neto, J. Ricardo de Sousa

Published Apr 17, 2013• 15 citations

Abstract

In this paper, we study the critical behavior of the three-dimensional antiferromagnetic Ising model in both uniform longitudinal (H) and transverse (?) magnetic fields. Using the effective field theory (EFT) with finite cluster N?=?1 spin (EFT) we calculate the phase diagrams in the H?T, ??T and ??H planes for a simple cubic lattice. We have only found second-order phase transitions for all values of fields and reentrant behavior was observed at low temperature.

DOI: 10.1088/0031-8949/87/05/055007

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Physica Scripta

Reentrance in the phase diagrams of the transverse Ising antiferromagnet in the presence of the longitudinal magnetic field on a simple cubic lattice

Minos A. Neto, J. Ricardo de Sousa

Published Apr 17, 2013• 15 citations

Publisher

Abstract

DOI: 10.1088/0031-8949/87/05/055007

Related papers

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Physical review. EFeb 15, 201825 citations

We have studied the anisotropic three-dimensional nearest-neighbor Ising model with competitive interactions in an uniform longitudinal magnetic field

H

. The model consists of ferromagnetic interaction

J_{x}(J_{z})

in the

x(z)

direction and antiferromagnetic interaction

J_{y}

in the

y

direction. We have compared our calculations within a effective-field theory in clusters with four spins (EFT-4) in the simple cubic (sc) lattice with traditional Monte Carlo (MC) simulations. The phase diagrams in the

h-k_{B}T/J_{x}

plane (

h=H/J_{x}

) were obtained for the particular case

λ_{1}=J_{y}/J_{x} (λ_{2}=J_{z}/J_{x})=1

(anisotropic sc). Our results indicate second-order frontiers for all values of

H

for the particular case

λ_{2}=0

(square lattice), while in case

λ_{1}=λ_{2}=1

, we observe first- and second-order phase transitions in the low and high temperature limits, respectively, with presence of a tricritical point. Using EFT-4, a reentrant behavior at low temperature was observed in contrast with results of MC.