Local Order at Arbitrary Distances in Finite-Dimensional Spin-Glass Models
Disordered Systems and Neural Networks
2009-09-29 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.cond-mat/0409127,
title = {Local Order at Arbitrary Distances in Finite-Dimensional Spin-Glass Models},
author = {Pierluigi Contucci and Francesco Unguendoli},
journal= {arXiv preprint arXiv:cond-mat/0409127},
year = {2009}
}