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 |
| 巻 | 87 |
| 号 | 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