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A general method to determine replica symmetry breaking transitions

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arxiv cond-mat/9802309 v1 pith:YFFEBADU submitted 1998-02-27 cond-mat.stat-mech cond-mat.dis-nn

A general method to determine replica symmetry breaking transitions

classification cond-mat.stat-mech cond-mat.dis-nn
keywords parametersymmetrybreakingglassesmethodmodelsreplicashort-range
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce a new parameter to investigate replica symmetry breaking transitions using finite-size scaling methods. Based on exact equalities initially derived by F. Guerra this parameter is a direct check of the self-averaging character of the spin-glass order parameter. This new parameter can be used to study models with time reversal symmetry but its greatest interest concerns models where this symmetry is absent. We apply the method to long-range and short-range Ising spin glasses with and without magnetic field as well as short-range multispin interaction spin glasses.

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