Possibly exact solution for the multicritical point of finite-dimensional spin glasses

Hidetoshi Nishimori, Koujin Takeda, Tomohiro Sasamoto

Research output: Contribution to journalArticlepeer-review

Abstract

After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimensional spin glasses. The theory enables us to understand in a unified way many numerical results for two-, three- and four-dimensional models including the ±J Ising model, random Potts model, random lattice gauge theory, and random Zq model. It is also suggested from the same theoretical framework that models with symmetric distribution of randomness in exchange interaction have no finite-temperature transition on the square lattice.

Original languageEnglish
Pages (from-to)2805-2813
Number of pages9
JournalInternational Journal of Modern Physics B
Volume20
Issue number19
DOIs
Publication statusPublished - 2006 Jul 30

Keywords

  • Duality
  • Gauge symmetry
  • Multicritical point
  • Phase diagram
  • Spin glass

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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