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Local Order at Arbitrary Distances in Finite-Dimensional Spin-Glass Models

Pierluigi Contucci·Francesco Unguendoli
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Abstract

For a finite dimensional spin-glass model we prove local order at low temperatures for both local observables and for products of observables at arbitrary mutual distance. When the Hamiltonian includes the Edwards-Anderson interaction we prove "bond" local order, when it includes the random-field interaction we prove "site" local order.

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Pierluigi Contucci, Francesco Unguendoli. 2004-10-18. Local Order at Arbitrary Distances in Finite-Dimensional Spin-Glass Models. https://arxiv.org/abs/cond-mat/0409127

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