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The Eigenvalue Analysis of the Density Matrix of 4D Spin Glasses Supports Replica Symmetry Breaking

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arxiv cond-mat/0207460 v1 pith:7MQ5EAHB submitted 2002-07-18 cond-mat.dis-nn

The Eigenvalue Analysis of the Density Matrix of 4D Spin Glasses Supports Replica Symmetry Breaking

L. Correale , E. Marinari , V. Martin-Mayor This is my paper
classification cond-mat.dis-nn
keywords spinbreakingdensitydimensionalglassesmatrixmethodreplica
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 we analyze in detail the four dimensional Edwards-Anderson model with Gaussian quenched random couplings. Our results clearly support the existence of replica symmetry breaking in the thermodynamical limit.

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