Abstract:The Ising spin-glass in a magnetic field is studied for the Bethe lattice. There is an instability that agrees with the replica-symmetry-breaking transition found for the infinite-range model. Correla...The Ising spin-glass in a magnetic field is studied for the Bethe lattice. There is an instability that agrees with the replica-symmetry-breaking transition found for the infinite-range model. Correlation lengths are finite on both sides of the transition, but there is a correlation length that diverges at the transition. Some features are different from those of the infinite-range model, and in particular the magnetic susceptibility and internal energy vary smoothly through the transition. An analogy with the localization transition on the Bethe lattice is pointed out.Read More
Publication Year: 1986
Publication Date: 1986-03-10
Language: en
Type: article
Indexed In: ['crossref', 'pubmed']
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Cited By Count: 147
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