Exact location of the multicritical point for finite-dimensional spin glasses: A conjecture

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dc.creatorTakeda, Koujin
dc.creatorSasamoto, Tomohiro
dc.creatorNishimori, Hidetoshi
dc.date2005-01-17
dc.date.accessioned2026-07-07T07:43:26Z
dc.date.available2026-07-07T07:43:26Z
dc.descriptionWe present a conjecture on the exact location of the multicritical point in the phase diagram of spin glass models in finite dimensions. By generalizing our previous work, we combine duality and gauge symmetry for replicated random systems to derive formulas which make it possible to understand all the relevant available numerical results in a unified way. The method applies to non-self-dual lattices as well as to self dual cases, in the former case of which we derive a relation for a pair of values of multicritical points for mutually dual lattices. The examples include the +-J and Gaussian Ising spin glasses on the square, hexagonal and triangular lattices, the Potts and Z_q models with chiral randomness on these lattices, and the three-dimensional +-J Ising spin glass and the random plaquette gauge model.
dc.description27 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0501372
dc.identifierhttp://arxiv.org/abs/cond-mat/0501372
dc.identifierJ.Phys. A38 (2005) 3751-3774
dc.identifierdoi:10.1088/0305-4470/38/17/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122822
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleExact location of the multicritical point for finite-dimensional spin glasses: A conjecture
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