Rigorous Decimation-Based Construction of Ground Pure States for Spin-Glass Models on Random Lattices

S. Cocco; O. Dubois; J. Mandler; R. Monasson

doi:10.1103/PhysRevLett.90.047205

Rigorous Decimation-Based Construction of Ground Pure States for Spin-Glass Models on Random Lattices

S. Cocco, O. Dubois, J. Mandler, R. Monasson

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	4
Number of pages	1
Journal	Physical Review Letters
Volume	90
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevLett.90.047205
Publication status	Published - 1 Jan 2003
Externally published	Yes

Access to Document

10.1103/PhysRevLett.90.047205

Cite this

@article{f636500d3478477393d7ec01e29c28c1,

title = "Rigorous Decimation-Based Construction of Ground Pure States for Spin-Glass Models on Random Lattices",

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{\textquoteright}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.",

author = "S. Cocco and O. Dubois and J. Mandler and R. Monasson",

year = "2003",

month = jan,

day = "1",

doi = "10.1103/PhysRevLett.90.047205",

language = "English",

volume = "90",

pages = "4",

journal = "Physical Review Letters",

issn = "0031-9007",

number = "4",

}

TY - JOUR

T1 - Rigorous Decimation-Based Construction of Ground Pure States for Spin-Glass Models on Random Lattices

AU - Cocco, S.

AU - Dubois, O.

AU - Mandler, J.

AU - Monasson, R.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.90.047205

DO - 10.1103/PhysRevLett.90.047205

M3 - Article

AN - SCOPUS:84894788342

SN - 0031-9007

VL - 90

SP - 4

JO - Physical Review Letters

JF - Physical Review Letters

IS - 4

ER -

Rigorous Decimation-Based Construction of Ground Pure States for Spin-Glass Models on Random Lattices

Abstract

Access to Document

Fingerprint

Cite this