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29 March 2024
 
  » arxiv » cond-mat/0105282

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The State(s) of Replica Symmetry Breaking: Mean Field Theories vs. Short-Ranged Spin Glasses
C.M. Newman ; D.L. Stein ;
Date 15 May 2001
Subject Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech
AffiliationCourant Institute of Mathematical Sciences, New York University, USA), D.L. Stein (Departments of Physics and Mathematics, University of Arizona, USA
AbstractWe prove the impossibility of recent attempts to decouple the Replica Symmetry Breaking (RSB) picture for finite-dimensional spin glasses from the existence of many thermodynamic (i.e., infinite-volume) pure states while preserving another signature RSB feature --- space filling relative domain walls between different finite-volume states. Thus revisions of the notion of pure states cannot shield the RSB picture from the internal contradictions that rule out its physical correctness in finite dimensions at low temperature in large finite volume.
Source arXiv, cond-mat/0105282
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