Location of the multicritical point for the ising spin glass on the triangular and hexagonal lattices

Hidetoshi Nishimori, Masayuki Ohzeki

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A conjecture is given for the exact location of the multicritical point in the phase diagram of the ±J Ising model on the triangular lattice. The result pc = 0:8358058 agrees well with a recent numerical estimate. From this value, it is possible to derive a comparable conjecture for the exact location of the multicritical point for the hexagonal lattice, pc = 0:9327041, again in excellent agreement with a numerical study. The method is a variant of duality transformation to relate the triangular lattice directly with its dual triangular lattice without recourse to the hexagonal lattice, in conjunction with the replica method.

Original languageEnglish
Article number034004
Journaljournal of the physical society of japan
Volume75
Issue number3
DOIs
Publication statusPublished - 2006 Mar 1

Keywords

  • Duality transformation
  • Exact solution
  • Hexagonal lattice
  • Multicritical point
  • Spin glass
  • Triangular lattice
  • ±J Ising model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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