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

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

2002-07-18

arxiv.org/abs/cond-mat/0207460v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 13 postscript figures

Scientific paper

10.1103/PhysRevB.66.174406

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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