Dynamical correlations in the Sherrington-Kirkpatrick model in a transverse field

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dc.creatorTakahashi, Kazutaka
dc.creatorTakeda, Koujin
dc.date2008-09-10
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:19:04Z
dc.date.available2026-07-07T10:19:04Z
dc.descriptionWe calculate the real-time-correlation function of the Sherrington-Kirkpatrick spin-glass model in a transverse field. Using a careful analysis of the perturbative expansion of the functional-integral representation, we derive the asymptotic form of the correlation function. In contrast to the previous works, we find for large transverse field a power-law decay of the correlation with time $t$ as $t^{-3/2}$ at zero temperature and $t^{-2}$ at infinite temperature. At the small field region, we also find a significant change in the correlation which comes from the structural difference between two paramagnetic phases.
dc.description11 pages, 5 figures; title changed, minor changes
dc.identifierhttps://arxiv.org/abs/0809.1730
dc.identifierhttp://arxiv.org/abs/0809.1730
dc.identifierPhys. Rev. B 78, 174415 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.174415
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174375
dc.subjectDisordered Systems and Neural Networks
dc.titleDynamical correlations in the Sherrington-Kirkpatrick model in a transverse field
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