Critical behavior and universality in Lévy spin glasses

Juan Carlos Andresen, Katharina Janzen, Helmut G. Katzgraber

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Using large-scale Monte Carlo simulations that combine parallel tempering with specialized cluster updates, we show that Ising spin glasses with Lévy-distributed interactions share the same universality class as Ising spin glasses with Gaussian or bimodal-distributed interactions. Corrections to scaling are large for Lévy 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.

Original languageEnglish
Article number174427
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number17
StatePublished - 13 May 2011
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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