Multicritical behavior of the two-dimensional transverse Ising metamagnet in a longitudinal magnetic field

Denise A. do Nascimento, Josefa T. Pacobahyba, Minos A. Neto, Octavio D. Rodriguez Salmon and J.A. Plascak

Physica A: Statistical Mechanics and its Applications, 2017, vol. 474, issue C, 224-229

Abstract: Magnetic phenomena of the two-dimensional anisotropic antiferromagnetic Ising model in both uniform longitudinal (H) and uniform transverse (Ω) magnetic fields are studied by employing a mean-field variational approach based on Bogoliubov inequality for the free energy. The phase diagrams in the magnetic fields and temperature (T) planes, namely H−T and Ω−T, are analyzed on an anisotropic square lattice for some values of the ratio α=Jy/Jx, where Jx and Jy are, respectively, the exchange interactions along the x and y directions. Depending on the range of the Hamiltonian parameters, one has only second-order transition lines, only first-order transition lines, or both first- and second-order transition lines with the presence of tricritical points. In addition, the corresponding phase diagrams are free from any reentrant behavior.

Keywords: Quantum phase transition; Ising model; Mean-field theory (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:474:y:2017:i:c:p:224-229

DOI: 10.1016/j.physa.2017.01.078

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