Gauge-invariant frustrated Potts spin-glass
- 1 May 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 27 (9), 5644-5652
- https://doi.org/10.1103/physrevb.27.5644
Abstract
The Ising model of a spin-glass is generalized to the Potts model. Our model possesses a frustration and a guage symmetry similar to those of the random Ising model. The gauge symmetry enables us to obtain exact results for the internal energy, specific heat, and correlation functions. The infinite-range version of this model is discussed at the same level of accuracy as the Sherrington-Kirkpatrick solution of the Ising spin-glass and the phase diagram is obtained. The model is solved exactly on the Bethe lattice and a nontrivial phase diagram is presented.Keywords
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