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Thermodynamics properties of an anisotropic Ising antiferromagnet in both external longitudinal and transverse fields

Authors:	Denise A do Nascimento Minos A Neto J Ricardo de Sousa JTM Pacobahyba

Institution:	1. Departamento de Física, Universidade Federal do Amazonas, 3000, Japiim, 69077-000, Manaus-AM, Brazil;2. Departamento de Física, Universidade Federal de Roraima, BR 174, Km 12. Bairro Monte Cristo. CEP: 69300-000, Boa Vista/RR, Brazil;3. National Institute of Science and Technology for Complex Systems, 3000, Japiim, 69077-000, Manaus-AM, Brazil

Abstract:	We have studied the anisotropic two-dimensional nearest-neighbor Ising model with competitive interactions in both uniform longitudinal field H $H$ and transverse magnetic field Ω $Ω$ . Using the effective-field theory (EFT) with correlation in cluster with N=1 $N = 1$ spin we calculate the thermodynamic properties as a function of temperature with values H $H$ and Ω $Ω$ fixed. The model consists of ferromagnetic interaction _J_x $J_{x}$ in the x $x$ direction and antiferromagnetic interaction _J_y $J_{y}$ in the y $y$ direction, and it is found that for H/_J_y∈0,2] $H / J_{y} \in 0, 2]$ the system exhibits a second-order phase transition. The thermodynamic properties are obtained for the particular case of λ=_J_x/_J_y=1 $λ = J_{x} / J_{y} = 1$ (isotropic square lattice).

Keywords:	Ising model Quantum phase transition Effective-field theory
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