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 |
|---|---|
| Article number | 001 |
| Pages (from-to) | L407-L414 |
| Journal | Journal of Physics C: Solid State Physics |
| Volume | 13 |
| Issue number | 16 |
| DOIs | |
| State | Published - 1 Dec 1980 |
| Externally published | Yes |
ASJC Scopus subject areas
- Condensed Matter Physics
- General Engineering
- General Physics and Astronomy
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