Local order at arbitrary distances in finite-dimensional spin-glass models

zbMATH Open1115.82016arXivcond-mat/0409127MaRDI QIDQ2504824

Francesco Unguendoli, Pierluigi Contucci

Publication date: 28 September 2006

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/cond-mat/0409127

zbMATH Keywords

Spin-glassesLocal orderOverlap distribution

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (1)

Local field distributions in spin glasses

This page was built for publication: Local order at arbitrary distances in finite-dimensional spin-glass models