Eur. Phys. J. B 21, 605-609 (2001)
https://doi.org/10.1007/s100510170171

Renormalization group approach to spin glass systems

¹ 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

Corresponding authors: ^a giorgio.parisi@roma1.infn.it - ^b roberto.petronzio@roma2.infn.it - ^c francesco.rosati@roma2.infn.it

Received: 17 November 2000
Published online: 15 June 2001

Abstract

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 T_c are obtained, and an RG flow diagram is sketched for the first time.