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19 April 2024

» arxiv » cond-mat/0206239

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Rigorous decimation-based construction of ground pure states for spin glass models on random lattices
S. Cocco ; O. Dubois ; J. Mandler ; R. Monasson ;
Date:	13 Jun 2002
Subject:	Statistical Mechanics; Disordered Systems and Neural Networks \| cond-mat.stat-mech cond-mat.dis-nn
Abstract:	A constructive scheme for determining pure states (clusters) at very low temperature in the 3-spins glass model on a random lattice is provided, in full agreement with Parisi’s one step replica symmetry breaking (RSB) scheme. Proof is based on the analysis of an exact decimation procedure. When the number c of couplings per spin is smaller than some critical value c_d, all spins are eliminated at the end of decimation (RS phase). In the range c_d
Source:	arXiv, cond-mat/0206239
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