On the number of ground states of the Edwards-Anderson spin glass model

DOI10.1214/12-AIHP499zbMath1292.82044arXiv1110.6913MaRDI QIDQ2438253

Louis-Pierre Arguin, Michael Damron

Publication date: 10 March 2014

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6913

zbMATH Keywords

spin glassesinfinite graphsEdwards-Anderson modelfirst-passage percolationinfinite geodesicshalf-plane uniquenessmeasures on sets of ground statesmultiple ground states

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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) Percolation (82B43)

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Cites Work

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• Are there incongruent ground states in 2D Edwards-Anderson spin glasses?

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