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

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

2004-09-06

arxiv.org/abs/cond-mat/0409127v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

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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