論文

査読有り
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
  • Terufumi Yokota

379
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
DOI
https://doi.org/10.1016/j.physa.2006.11.094
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000246822600016&DestApp=WOS_CPL
ID情報
  • DOI : 10.1016/j.physa.2006.11.094
  • ISSN : 0378-4371
  • Web of Science ID : WOS:000246822600016

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