Exact location of the multicritical point for finite-dimensional spin glasses: A conjecture

Koujin Takeda, Tomohiro Sasamoto, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

We present a conjecture on the exact location of the multicritical point in the phase diagram of spin glass models in finite dimensions. By generalizing our previous work, we combine duality and gauge symmetry for replicated random systems to derive formulae which make it possible to understand all the relevant available numerical results in a unified way. The method applies to non-self-dual lattices as well as to self-dual cases, in the former case of which we derive a relation for a pair of values of multicritical points for mutually-dual lattices. The examples include the ±J and Gaussian Ising spin glasses on the square, hexagonal and trianplar lattices, the Potts and Z q models with chiral randomness on these lattices, and the three-dimensional ±J Ising spin glass and the random plaquette gauge model.

Original languageEnglish
Pages (from-to)3751-3774
Number of pages24
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number17
DOIs
Publication statusPublished - 2005 Apr 29

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Exact location of the multicritical point for finite-dimensional spin glasses: A conjecture'. Together they form a unique fingerprint.

Cite this