Closed-form solutions and free energy of hard-spin mean-field theory of a fully frustrated system

Date
1994
Authors
Kabakçıoğlu, A.
Berker, A. N.
Yalabık, M. C.
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Source Title
Physical Review E
Print ISSN
1063-651X
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Publisher
American Physical Society
Volume
49
Issue
4
Pages
2680 - 2683
Language
English
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Abstract

Closed-form solutions of the hard-spin mean-field theory equations for the antiferromagnetic Ising model on a triangular lattice, with or without an external field H, are obtained, showing the lack of order for H=0 and very good agreement with Monte Carlo data for the onset of order for nonzero H. A free energy calculation is developed, within the context of hard-spin mean-field theory, distinguishing between metastable solutions and true thermodynamic equilibrium. © 1994 The American Physical Society.

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Published Version (Please cite this version)