Exact enumeration of the ground states of a triangular Ising antiferromagnet

An algorithm is described for exact enumeration of the ground states of the antiferromagnetic Ising model on a triangular lattice for particular finite domains and boundary conditions. A direct constructive approach is used that allows easy incorporation of different boundary conditions. The algorit...

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Bibliographic Details
Published in:Computer physics communications 2006-02, Vol.174 (3), p.198-201
Main Authors: Blakeley, N.D., Millane, R.P.
Format: Article
Language:English
Subjects:
Antiferromagnet
Degeneracy
Enumeration
Finite size scaling
Ising model
Triangular
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Summary:An algorithm is described for exact enumeration of the ground states of the antiferromagnetic Ising model on a triangular lattice for particular finite domains and boundary conditions. A direct constructive approach is used that allows easy incorporation of different boundary conditions. The algorithm has been used to study the effects of boundary conditions on thermodynamic entropy.
ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2005.10.004