Nontrivial phase behaviour in the infinite-range quantum Mattis model

P. Sollich, Hidetoshi Nishimori, A. C.C. Coolen, A. J. Van Der Sijs

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We have solved the quantum version of the Mattis model with infinite-range interactions. A variational approach gives the exact solution for the infinite-range system, in spite of the non-commutative nature of the quantum spin components; this implies that quantum effects are not predominant in determining the macroscopic properties of the system. Nevertheless, the model has a surprisingly rich phase behaviour, exhibiting phase diagrams with tricritical, three-phase and critical end points.

Original languageEnglish
Pages (from-to)3200-3213
Number of pages14
Journaljournal of the physical society of japan
Issue number10
Publication statusPublished - 2000 Oct
Externally publishedYes


  • Exact solution
  • Infinite-range model
  • Mattis model
  • Quantum spin
  • Randomness
  • Variational method

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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