Rigorous decimation-based construction of ground pure states for spin glass models on random lattices

Details Rigorous decimation-based construction of ground pure states for spin glass models on random lattices Rigorous decimation-based construction of ground pure states for spin glass models on random lattices

2002-06-13

arxiv.org/abs/cond-mat/0206239v3

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.90.047205

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

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