Phys. Rev. Lett. 90, 047205 (2003) [4 pages]Rigorous Decimation-Based Construction of Ground Pure States for Spin-Glass Models on Random LatticesReceived 12 June 2002; published 31 January 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.047205
DOI:
10.1103/PhysRevLett.90.047205
PACS:
75.10.Nr, 02.50.–r, 05.20.–y, 64.60.Cn
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