Lack of Ultrametricity in the Low-Temperature phase of 3D Ising Spin Glasses

dc.creatorHed, Guy
dc.creatorYoung, A. P.
dc.creatorDomany, Eytan
dc.date2003-10-26
dc.date2004-04-08
dc.date.accessioned2026-07-07T02:54:25Z
dc.date.available2026-07-07T02:54:25Z
dc.descriptionWe study the low-temperature spin-glass phases of the Sherrington-Kirkpatrick (SK) model and of the 3-dimensional short range Ising spin glass (3dISG). For the SK model, evidence for ultrametricity becomes clearer as the system size increases, while for the short-range case our results indicate the opposite, i.e. lack of ultrametricity. Our results are obtained by a recently proposed method that uses clustering to focus on the relevant parts of phase space and reduce finite size effects. Evidence that the mean field solution does not apply in detail to the 3dISG is also found by another method which does not rely on clustering.
dc.identifierhttps://arxiv.org/abs/cond-mat/0310609
dc.identifierhttp://arxiv.org/abs/cond-mat/0310609
dc.identifierPhys. Rev. Lett. 92, 157201 (2004)
dc.identifierdoi:10.1103/PhysRevLett.92.157201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22539
dc.subjectDisordered Systems and Neural Networks
dc.titleLack of Ultrametricity in the Low-Temperature phase of 3D Ising Spin Glasses
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