Gauge-invariant frustrated Potts spin-glass

Hidetoshi Nishimori, Michael J. Stephen

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)5644-5652
Number of pages9
JournalPhysical Review B
Issue number9
Publication statusPublished - 1983
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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