Onsager reaction field theory for the three-dimensional anisotropic XY model

M. E. Gouvêa, A. S. T. Pires, and G. M. Wysin
Phys. Rev. B 58, 2399 – Published 1 August 1998
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Abstract

We discuss coupled XY spin chains in three dimensions and calculate the transition temperature and spin correlation lengths as functions of the ratio of the interchain exchange coupling J to the intrachain coupling J, for chainlike spatial anisotropy J<J. We use two different approaches of the Onsager reaction-field (ORF) formalism. First we use the standard ORF theory, in which both the intrachain and interchain couplings are treated equally. Second, we treat one chain exactly and consider it in the effective field caused by the other chains, with the ORF formalism applied to the interchain interaction. The transition temperatures obtained are compared with results from Monte Carlo simulations.

  • Received 24 July 1997

DOI:https://doi.org/10.1103/PhysRevB.58.2399

©1998 American Physical Society

Authors & Affiliations

M. E. Gouvêa, A. S. T. Pires, and G. M. Wysin*

  • Departamento de Física, ICEx, Universidade Federal de Minas Gerais, Belo Horizonte, Caixa Postale 702, CEP 30123-970, MG, Brazil

  • *Permanent address: Department of Physics, Kansas State University, Manhattan, KS 66506-2601.

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Vol. 58, Iss. 5 — 1 August 1998

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