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Article Dans Une Revue Physical Review Letters Année : 2003

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

Simona Cocco
Jacques Mandler
  • Fonction : Auteur
Rémi Monasson

Résumé

A constructive scheme for determining pure states 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 a partial decimation procedure and of the statistical properties of its output, i.e., a reduced Hamiltonian acting on a subset of the initial spins. The number of ground states (GS) in each state, the number of states, and the distances between GS are calculated and correspond to RSB predictions.

Dates et versions

hal-01185760 , version 1 (21-08-2015)

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Citer

Simona Cocco, Olivier Dubois, Jacques Mandler, Rémi Monasson. Rigorous decimation-based construction of ground pure states for spin-glass models on random lattices. Physical Review Letters, 2003, 90 (4), pp.047205. ⟨10.1103/PhysRevLett.90.047205⟩. ⟨hal-01185760⟩
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