Renormalization group approach to spin glass systems

Citation
G. Parisi et al., Renormalization group approach to spin glass systems, EUR PHY J B, 21(4), 2001, pp. 605-609
Citations number
14
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL B
ISSN journal
14346028 → ACNP
Volume
21
Issue
4
Year of publication
2001
Pages
605 - 609
Database
ISI
SICI code
1434-6028(200106)21:4<605:RGATSG>2.0.ZU;2-8
Abstract
A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented. The procedure is non-s tandard in both the nature of the additional interactions and the coarse gr aining transformation, that is performed on the overlap probability measure . Universality classes are thus naturally defined on a large set of models, going from Z(2) and Gaussian spin glasses to Ising and fully frustrated mo dels, and others. The proposed analysis is tested numerically on the Z(2) E dwards-Anderson model in d = 4. Good estimates of the critical index v and of T-c are obtained, and an RG flow diagram is sketched for the first time.