Duality relations and the replica method for Ising models
- 10 June 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (16) , L407-L414
- https://doi.org/10.1088/0022-3719/13/16/001
Abstract
Random Ising models are conveniently treated by the replica method. The authors study the duality relations for general symmetrically coupled Ising models on a square lattice in two dimensions. General conditions for self-duality are found and a number of new self-dual models are presented. Recently conjectured transition temperatures for the dilute Ising model, by Nishimori (1979), are shown not to obey these general conditions.Keywords
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