Critical behavior and universality in Levy spin glasses
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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract
Using large-scale Monte Carlo simulations that combine parallel tempering with specialized cluster updates, we show that Ising spin glasses with Levy-distributed interactions share the same universality class as Ising spin glasses with Gaussian or bimodal-distributed interactions. Corrections to scaling are large for Levy spin glasses. To overcome these and show that the critical exponents agree with the bimodal and Gaussian case, we perform an extended scaling of the two-point finite-size correlation length and the spin-glass susceptibility. Furthermore, we compute the critical temperature and compare its dependence on the disorder distribution width with recent analytical predictions [J. Stat. Mech. (2008) P04006].
Description
Journals published by the American Physical Society can be found at http://journals.aps.org/
Keywords
CRITICAL EXPONENTS, MODEL, RENORMALIZATION, TEMPERATURES, SIMULATIONS, TRANSITION, Physics
Citation
Juan Carlos Andresen, Katharina Janzen and Helmut G. Katzgraber. Phys.Rev.B 83 174427 2011."Copyright (2011) by the American Physical Society."