Duality relations and the replica method for Ising models

A. Aharony*, M. J. Stephen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


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.

Original languageEnglish
Article number001
Pages (from-to)L407-L414
JournalJournal of Physics C: Solid State Physics
Issue number16
StatePublished - 1980
Externally publishedYes


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