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Phys. Rev. B 62, 3251–3258 (2000)

Onsager reaction-field theory for magnetic models on diamond and hcp lattices

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G. M. Wysin
Department of Physics, Kansas State University, Manhattan, Kansas 66506-2601

Received 17 September 1999; revised 17 February 2000; published in the issue dated 1 August 2000

The Onsager reaction-field (ORF) theory is extended to apply to three-dimensional Bravais lattices with a basis. The ORF calculation is used to predict the critical temperature for classical Ising, XY, and Heisenberg magnetic models, in particular, on diamond and hexagonal close-packed lattices. Results are compared with series extrapolations and other theoretical approaches where available. For the hcp lattice the ORF calculation is seen to be equivalent to a Green’s-function approach by Adler [Physica B&C 107B, 207 (1981)].

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.62.3251
DOI:
10.1103/PhysRevB.62.3251
PACS:
75.10.Hk, 75.10.-b, 75.40.Cx