Real-space renormalization-group approach to the random transverse-field Ising model in finite dimensions

Ryoji Miyazaki, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

The transverse-field Ising models with random exchange interactions in finite dimensions are investigated by means of a real-space renormalization- group method. The scheme yields the exact values of the critical point and critical exponent ν in one dimension and some previous results in the case of random ferromagnetic interactions are reproduced in two and three dimensions. We apply the scheme to spin glasses in transverse fields in two and three dimensions, which have not been analyzed very extensively. The phase diagrams and the critical exponent ν are obtained and evidence for the existence of an infinite-randomness fixed point in these models is found.

Original languageEnglish
Article number032154
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
Issue number3
DOIs
Publication statusPublished - 2013 Mar 25

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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