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Large deviations in spin-glass ground-state energies

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  • A. Andreanov
  • F. Barbieri
  • O. Martin

Abstract

The ground-state energy E 0 of a spin glass is an example of an extreme statistic. We consider the large deviations of this energy for a variety of models when the number of spins N goes to infinity. In most cases, the behavior can be understood qualitatively, in particular with the help of semi-analytical results for hierarchical lattices. Particular attention is paid to the Sherrington-Kirkpatrick model; after comparing to the Tracy-Widom distribution which follows from the spherical approximation, we find that the large deviations give rise to non-trivial scaling laws with N. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • A. Andreanov & F. Barbieri & O. Martin, 2004. "Large deviations in spin-glass ground-state energies," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(3), pages 365-375, October.
    • Handle: RePEc:spr:eurphb:v:41:y:2004:i:3:p:365-375
    DOI: 10.1140/epjb/e2004-00329-0
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