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Free energy fluctuations in Ising spin glasses

T. Aspelmeier·M. A. Moore
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Abstract

The sample-to-sample fluctuations of the free energy in finite-dimensional Ising spin glasses are calculated, using the replica method, from higher order terms in the replica number $n$. It is shown that the Parisi symmetry breaking scheme does not give the correct answers for these higher order terms. A modified symmetry breaking scheme with the same stability is shown to resolve the problem.

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T. Aspelmeier, M. A. Moore. 2002-11-29. Free energy fluctuations in Ising spin glasses. https://doi.org/10.1103/physrevlett.90.177201

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