Università di Pisa
Sistema bibliotecario di ateneo

The critical behavior of three-dimensional Ising spin glass models

Hasenbusch, Martin and Pelissetto, Andrea and Vicari, Ettore (2008) The critical behavior of three-dimensional Ising spin glass models. Physical review. B, Condensed matter and materials physics, 78 . p. 214205. ISSN 1550-235X

Full text not available from this repository.


We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and L=20, respectively), and the bond-diluted bimodal model for bond-occupation probability p_b = 0.45 (up to L=16). The finite-size behavior of the quartic cumulants at the critical point allows us to check very accurately that these models belong to the same universality class. Moreover, it allows us to estimate the scaling-correction exponent \omega related to the leading irrelevant operator: \omega=1.0(1). Shorter Monte Carlo simulations of the bond-diluted bimodal models at p_b=0.7 and p_b=0.35 (up to L=10) and of the Ising spin-glass model with Gaussian bond distribution (up to L=8) also support the existence of a unique Ising spin-glass universality class. A careful finite-size analysis of the Monte Carlo data which takes into account the analytic and the nonanalytic corrections to scaling allows us to obtain precise and reliable estimates of the critical exponents \nu and \eta: we obtain \nu=2.45(15) and \eta=-0.375(10).

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 09 Apr 2015 16:05
Last Modified: 09 Apr 2015 16:05
URI: http://eprints.adm.unipi.it/id/eprint/1856

Repository staff only actions

View Item