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Type: Artigo de periódico
Title: An Ergodic Description Of Ground States
Author: Garibaldi E.
Thieullen P.
Abstract: Given a translation-invariant Hamiltonian (Formula presented.), a ground state on the lattice (Formula presented.) is a configuration whose energy, calculated with respect to (Formula presented.), cannot be lowered by altering its states on a finite number of sites. The set formed by these configurations is translation-invariant. Given an observable (Formula presented.) defined on the space of configurations, a minimizing measure is a translation-invariant probability which minimizes the average of (Formula presented.). If (Formula presented.) is the mean contribution of all interactions to the site (Formula presented.), we show that any configuration of the support of a minimizing measure is necessarily a ground state.
Editor: Springer New York LLC
Rights: fechado
Identifier DOI: 10.1007/s10955-014-1139-z
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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