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

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

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 Tc

Suggested Citation

  • Araújo, Ijanı́lio G. & Ricardo de Sousa, J. & Branco, N.S., 2002. "Study of the crossover from 2 to 3 dimensions in the quantum spin-12 anisotropic Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(3), pages 585-596.
    • Handle: RePEc:eee:phsmap:v:305:y:2002:i:3:p:585-596
    DOI: 10.1016/S0378-4371(01)00474-5
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