2007年6月
Replica symmetry breaking in the Ising spin glass model on Bethe-like lattices with loop
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- 巻
- 379
- 号
- 2
- 開始ページ
- 534
- 終了ページ
- 544
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.physa.2006.11.094
- 出版者・発行元
- ELSEVIER SCIENCE BV
The Ising spin glass model on Bethe-like lattices (cactus lattices) is studied using replicas in the presence of a magnetic field. Parisi's order parameter function and the de Almeida-Thouless (AT) line are obtained close to the spin glass transition temperature. The results are compared with those for the Bethe lattice to see the effects of loops. The slope of the order parameter function diminishes considerably for both lattices compared with that for the Sherrington-Kirkpatrick (SK) model. The loci of the AT line for the cactus lattices and the Bethe lattice are above and below that for the SK model, respectively. (C) 2007 Elsevier B.V. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.physa.2006.11.094
- ISSN : 0378-4371
- Web of Science ID : WOS:000246822600016