Rigorous decimation-based construction of ground pure states for spin-glass models on random lattices |
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Authors: | Cocco S Dubois O Mandler J Monasson R |
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Affiliation: | CNRS-Laboratoire de Dynamique des Fluides Complexes, 3 Rue de l'Université, 67000 Strasbourg, France. |
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Abstract: | 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. |
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