Replica symmetry breaking in the spin-glass model on lattices with finite connectivity: Application to graph partitioning

Yadin Y. Goldschmidt; Cyrano De Dominicis

doi:10.1103/physrevb.41.2184

Replica symmetry breaking in the spin-glass model on lattices with finite connectivity: Application to graph partitioning

Physical Review B ◽

10.1103/physrevb.41.2184 ◽

1990 ◽

Vol 41 (4) ◽

pp. 2184-2197 ◽

Cited By ~ 33

Author(s):

Yadin Y. Goldschmidt ◽

Cyrano De Dominicis

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Graph Partitioning ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Glass Model

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Replica symmetry breaking in the Ising spin glass model on Bethe-like lattices with loop

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2006.11.094 ◽

2007 ◽

Vol 379 (2) ◽

pp. 534-544 ◽

Cited By ~ 16

Author(s):

Terufumi Yokota

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Ising Spin Glass ◽

Ising Spin ◽

Glass Model

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Replica-symmetry breaking and quantum fluctuation effects in thep-spin interaction spin-glass model with a transverse field

Journal of Physics A General Physics ◽

10.1088/0305-4470/29/8/009 ◽

1996 ◽

Vol 29 (8) ◽

pp. 1605-1618 ◽

Cited By ~ 7

Author(s):

L De Cesare ◽

K Lukierska-Walasek ◽

I Rabuffo ◽

K Walasek

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Quantum Fluctuation ◽

Transverse Field ◽

Spin Interaction ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Glass Model ◽

Fluctuation Effects

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One-step replica symmetry breaking solution for a highly asymmetric two-sublattice fermionic Ising spin-glass model in a transverse field

Physical Review B ◽

10.1103/physrevb.76.014203 ◽

2007 ◽

Vol 76 (1) ◽

Cited By ~ 4

Author(s):

F. M. Zimmer ◽

S. G. Magalhaes

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Transverse Field ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Ising Spin Glass ◽

Ising Spin ◽

Glass Model ◽

One Step

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Fluctuations in a spin-glass model with one replica symmetry breaking

Journal of Physics A General Physics ◽

10.1088/0305-4470/29/22/003 ◽

1996 ◽

Vol 29 (22) ◽

pp. L569-L574 ◽

Cited By ~ 11

Author(s):

M E Ferrero ◽

G Parisi ◽

P Ranieri

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Glass Model

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On one-step replica symmetry breaking in the Edwards–Anderson spin glass model

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2016/07/073305 ◽

2016 ◽

Vol 2016 (7) ◽

pp. 073305 ◽

Cited By ~ 1

Author(s):

Gino Del Ferraro ◽

Chuang Wang ◽

Hai-Jun Zhou ◽

Erik Aurell

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Glass Model ◽

One Step

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Replica symmetry breaking in a fermionic cluster spin glass model in a transverse field

Physica B Condensed Matter ◽

10.1016/j.physb.2009.07.011 ◽

2009 ◽

Vol 404 (19) ◽

pp. 3052-3055 ◽

Cited By ~ 1

Author(s):

F.M. Zimmer ◽

S.G. Magalhães

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Transverse Field ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Glass Model ◽

Cluster Spin Glass

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Two-sublattice fermionic Ising spin glass model in a transverse field: Asymmetric replica symmetry breaking solution

Journal of Magnetism and Magnetic Materials ◽

10.1016/j.jmmm.2008.02.163 ◽

2008 ◽

Vol 320 (14) ◽

pp. e474-e477 ◽

Cited By ~ 1

Author(s):

F.M. Zimmer ◽

S.G. Magalhaes

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Transverse Field ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Ising Spin Glass ◽

Ising Spin ◽

Glass Model

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A numerical study of the pure states of the Sherrington-Kirkpatrick spin glass model-a comparison with Parisi's replica-symmetry-breaking solution

Journal of Physics C Solid State Physics ◽

10.1088/0022-3719/20/9/022 ◽

1987 ◽

Vol 20 (9) ◽

pp. 1325-1336 ◽

Cited By ~ 31

Author(s):

K Nemoto

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Numerical Study ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Glass Model ◽

Pure States

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Spontaneous Replica Symmetry Breaking in the Mean Field Spin Glass Model

New Trends in Mathematical Physics ◽

10.1007/978-90-481-2810-5_21 ◽

2009 ◽

pp. 299-311 ◽

Cited By ~ 1

Author(s):

Francesco Guerra

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Mean Field ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Glass Model ◽

The Mean

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Replica symmetry breaking in an adiabatic spin-glass model of adaptive evolution

EPL (Europhysics Letters) ◽

10.1209/0295-5075/99/68004 ◽

2012 ◽

Vol 99 (6) ◽

pp. 68004 ◽

Cited By ~ 5

Author(s):

Ayaka Sakata ◽

Koji Hukushima ◽

Kunihiko Kaneko

Keyword(s):

Symmetry Breaking ◽

Spin Glass ◽

Adaptive Evolution ◽

Spin Glass Model ◽

Replica Symmetry ◽

Replica Symmetry Breaking ◽

Glass Model

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