Gauge glass, spin glass and coding theory - exact results

Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


A variety of exact and rigorous results are derived for statistical-mechanical models of gauge glasses and their generalizations. In particular, I prove the absence of gauge glass ordering in two dimensions at finite temperatures. I also calculate the exact value of the internal energy in a subspace of the phase diagram. A close relationship between the spin glass problem and coding theory is used to prove the conjecture of Ruján. That is, decoding of transmitted signals at a particular finite temperature is shown to have the smallest bit error rate. Most of these results are derived by a unified method of gauge transformation.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-3
Publication statusPublished - 1994 Apr 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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