論文

査読有り
2009年3月

Ising Spin Glass on Bethe-Like Lattices

PROGRESS OF THEORETICAL PHYSICS
  • Terufumi Yokota

121
3
開始ページ
603
終了ページ
625
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1143/PTP.121.603
出版者・発行元
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE

Ising spin glass on Bethe-like lattices is studied focusing oil the replica symmetry breaking near the spin glass transition temperature. To see the frustration effects of small loops, spin glass order parameter functions and the de Almeida-Thouless (AT) lines in small magnetic fields are obtained for the Bethe-like cactus lattices. As approximations for realistic short range models, they are compared with the results for the Bethe lattice without small loops to see the effects of the loops. Triangular, tetrahedral and square cactus lattices are studied. The slope of the spin glass order parameter function for a cactus lattice is smaller than the corresponding one for the Bethe lattice. The replica symmetry breaking region in fields for the cactus lattice is larger than that for the corresponding Bethe lattice except for the smallest number of connectivity of the loops in the triangular and tetrahedral cactus lattices. To obtain the results, an equation among quantities that are related to the spin glass order parameter is used. This equation is shown to be related to all equation derived within a cluster approximation without using replicas.

Web of Science ® 被引用回数 : 3

リンク情報
DOI
https://doi.org/10.1143/PTP.121.603
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000265246300010&DestApp=WOS_CPL
ID情報
  • DOI : 10.1143/PTP.121.603
  • ISSN : 0033-068X
  • Web of Science ID : WOS:000265246300010

エクスポート
BibTeX RIS