Duality in finite-dimensional spin glasses

Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function.

Original languageEnglish
Pages (from-to)977-986
Number of pages10
JournalJournal of Statistical Physics
Issue number4-5
Publication statusPublished - 2007 Mar

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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