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Low-temperature behavior of the infinite-range Ising spin-glass: Exact statistical mechanics for small samples

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Abstract

The low-temperature behavior of the infinite-range Ising spin-glass model with a Gaussian distribution of interactions is studied by evaluating the statistical mechanics exactly for small systems (up to N=20 spins). Our results can be well understood by a simple picture of elementary cluster excitations from the ground state which overturn, on average, of order N12 spins. The conventional definition of the spin-glass order parameter is shown to be unsatisfactory and a new definition is proposed. It is speculated that ensemble averages may give different results from time averages for N even in the infinite time limit.

Original languageEnglish
Pages (from-to)440-451
Number of pages12
JournalPhysical Review B-Condensed Matter
Volume25
Issue number1
DOIs
StatePublished - 1982
Externally publishedYes

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