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 journalArticle

4 Citations (Scopus)

Abstract

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
Volume69
Issue number10
DOIs
Publication statusPublished - 2000 Oct
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Sollich, P., Nishimori, H., Coolen, A. C. C., & Van Der Sijs, A. J. (2000). Nontrivial phase behaviour in the infinite-range quantum Mattis model. journal of the physical society of japan, 69(10), 3200-3213. https://doi.org/10.1143/JPSJ.69.3200