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Published on: June 28, 2018
Rigorous decimation-based construction of ground pure states for spin-glass models on random lattices
1CNRS-Laboratoire de Dynamique des Fluides Complexes, 3 Rue de l'Université, 67000 Strasbourg, France.
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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