Study of the crossover from 2 to 3 dimensions in the quantum spin-12 anisotropic Heisenberg model

Ijanı́lio G. Araújo, J. Ricardo de Sousa and N.S. Branco

Physica A: Statistical Mechanics and its Applications, 2002, vol. 305, issue 3, 585-596

Abstract: The phase diagram of the quantum spin-12 anisotropic Heisenberg antiferromagnet is studied, within a mean-field renormalization-group approach in larger clusters. The model consists of an anisotropic cubic lattice, with in-plane J and inter-plane J′=λJ interactions. The dependence of the Néel temperature TN on the interlayer coupling λ and on the anisotropy parameter Δ (Δ=0 and 1 correspond to the isotropic Heisenberg and Ising models, respectively) is obtained explicitly. We have shown that TN(Δ,λ) is different from the Curie temperature Tc(Δ,λ), such that, at Δc(λ) [or λc(Δ)], Tc=TN. The set of points Δc(λ) determine a characteristic frontier in the (λ,Δ) plane, which separate three regimes. These are defined as: Curie, when Tc>TN, Néel, when TcDate: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:305:y:2002:i:3:p:585-596

DOI: 10.1016/S0378-4371(01)00474-5

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