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Ultrametric structure of finite dimensional spin glasses

  • Angelo Cacciuto
  • Enzo Marinari
  • Giorgio Parisi
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 492)

Abstract

We discuss numerical experiments that allow to detect an ultrametric structure of the phase space of the 4D spin glasses with quenched random couplings J=±1. We discuss a constrained Monte Carlo method, and systematic problems like finite size effects. We compare our results to the ones we obtain for the mean field Sherrington Kirkpatrick model and by using unconstrained numerical simulations, and we exhibit a very coherent picture.

Keywords

Spin Glass Finite Size Effect Ultrametric Space Triangular Inequality Coherent Picture 
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References

  1. Cacciuto, A., Marinari, E., Parisi, G. (1996): preprint cond-mat/9608161, to be published on J. Phys. AGoogle Scholar
  2. Cacciuto, A., Marinari, E., Parisi, G. (1997): in preparationGoogle Scholar
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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Angelo Cacciuto
    • 1
  • Enzo Marinari
    • 1
  • Giorgio Parisi
    • 2
  1. 1.Dipartimento di Fisica and InfnUniversità di CagliariCagliariItaly
  2. 2.Dipartimento di Fisica and InfnUniversità di Roma La SapienzaRomaItaly

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