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

Ryoji Miyazaki, Hidetoshi Nishimori

研究成果: Article査読

15 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号032154
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
87
3
DOI
出版ステータスPublished - 2013 3月 25
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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