Multicritical points of potts spin glasses on the triangular lattice

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2 Citations (Scopus)


We predict the locations of several multicritical points of the Potts spin glass model on the triangular lattice. In particular, continuous multicritical lines, which consist of multicritical points, are obtained for two types of two-state Potts (i.e., Ising) spin glasses with two- and three-body interactions on the triangular lattice. These results provide us with numerous examples to further verify the validity of the conjecture, which has succeeded in deriving highly precise locations of multicritical points for several spin glass models. The technique, called the direct triangular duality, a variant of the ordinary duality transformation, directly relates the triangular lattice with its dual triangular lattice in conjunction with the replica method.

Original languageEnglish
Article number114003
Journaljournal of the physical society of japan
Issue number11
Publication statusPublished - 2007 Nov
Externally publishedYes


  • Duality transformation
  • Exact solution
  • Multicritical point
  • Potts model
  • Spin glass
  • Triangular lattice

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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