The equivalence between discrete-spin Hamiltonians and Ising Hamiltonians with multi-spin interactions
- 10 May 1987
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 20 (13) , L257-L262
- https://doi.org/10.1088/0022-3719/20/13/008
Abstract
An argument is presented to explain the fact that the same mean-field results apply to several spin glass models, such as the 'random-energy' model and the large-p Potts glass model. The dilute simplest spin glass model is solved, yielding the same mean-field results. The argument is based on the fact that the symmetry of the discrete-spin system can be determined by the discrete-spin type or by the form of the interactions. The mapping between the models can be extended to all forms of discrete-spin systems.Keywords
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