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.
Original language | English |
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Article number | 001 |
Pages (from-to) | L407-L414 |
Journal | Journal of Physics C: Solid State Physics |
Volume | 13 |
Issue number | 16 |
DOIs | |
State | Published - 1980 |
Externally published | Yes |