Eigenvalue analysis of the density matrix of four-dimensional spin glasses supports replica symmetry breaking
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2002
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American Physical Society
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Abstract
We present a general and powerful numerical method useful to study the density matrix of spin models. We apply the method to finite-dimensional spin glasses, and analyze in detail the four-dimensional EdwardsAnderson model with Gaussian quenched random couplings. Our results clearly support the existence of replica symmetry breaking in the thermodynamical limit.
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© 2002 The American Physical Society. We are very grateful to Giorgio Parisi and to Federico Ricci-Tersenghi for several useful conversations. Our numerical calculations have been carried out in the Pentium Clusters RTN3 (Zaragoza), Idra (ROMA La Sapienza) and KALIX2 (Cagliari). We thank the RTN collaboration for kindly allowing us to use CPU time on their machine. V.M.M. acknowledges financial support by E.C. Contract No. HPMF-CT-2000-00450 and by OCYT (Spain) Project FPA 2001-1813.