Multispin Ising spin glasses with ferromagnetic interactions

Peter Gillin, Hidetoshi Nishimori, David Sherrington

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r = 2 there is a continuous transition to a ferromagnetic phase, while for r > 2 the transition is first order. We find both glassy and non-glassy ferromagnetic phases, with replica symmetry breaking of both the one step and full varieties. We obtain new results for the case where r = p > 2, demonstrating the existence of a non-glassy ferromagnetic phase, of significance to error-correcting codes.

Original languageEnglish
Pages (from-to)2949-2964
Number of pages16
JournalJournal of Physics A: Mathematical and General
Issue number14
Publication statusPublished - 2001 Apr 13
Externally publishedYes

ASJC Scopus subject areas

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


Dive into the research topics of 'Multispin Ising spin glasses with ferromagnetic interactions'. Together they form a unique fingerprint.

Cite this