Renormalization group approach to spin glass systems
Dipartimento di Fisica, INFN and INFM, Università di Roma "La Sapienza" , P.le Aldo Moro 2, 00185 Roma, Italia
2 Dipartimento di Fisica and INFN, Università di Roma "Tor Vergata" , via della Ricerca Scientifica 1, 00133 Roma, Italia
3 Dipartimento di Fisica, Università di Roma "Tor Vergata" , via della Ricerca Scientifica 1, 00133 Roma, Italia
Published online: 15 June 2001
A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented. The procedure is non-standard in both the nature of the additional interactions and the coarse graining transformation, that is performed on the overlap probability measure. Universality classes are thus naturally defined on a large set of models, going from ℤ2 and Gaussian spin glasses to Ising and fully frustrated models, and others. The proposed analysis is tested numerically on the ℤ2. Good estimates of the critical index ν and of Tc are obtained, and an RG flow diagram is sketched for the first time.
PACS: 75.10.Nr – Spin-glass and other random models / 05.10.Cc – Renormalization group methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001