Microcanonical analysis of spin glasses using gauge symmetry

Hidetoshi Nishimori

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4 Citations (Scopus)


We apply the method of gauge transformation to spin glasses under the microcanonical ensemble to study the possibility of ensemble inequivalence in systems with long-range interactions and quenched disorder. It is proved that all the results derived under the canonical ensemble on the Nishimori line (NL) can be reproduced by the microcanonical ensemble irrespective of the range of interactions. This establishes that ensemble inequivalence should take place away from the NL if it happens in spin glasses. It is also proved on the NL that the microcanonical configurational average of the energy as a function of temperature is exactly equal to the average energy in the canonical ensemble for any finite-size systems with Gaussian disorder. In this sense, ensembles are equivalent even for finite systems.

Original languageEnglish
Article number023002
Journaljournal of the physical society of japan
Issue number2
Publication statusPublished - 2011 Feb


  • Ensemble inequivalence
  • Gauge symmetry
  • Microcanonical ensemble
  • Spin glass

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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