Extended scaling for ferromagnetic Ising models with zero-temperature transitions

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dc.creatorKatzgraber, Helmut G.
dc.creatorCampbell, I. A.
dc.creatorHartmann, A. K.
dc.date2008-09-06
dc.date2008-11-12
dc.date.accessioned2026-07-07T12:52:34Z
dc.date.available2026-07-07T12:52:34Z
dc.descriptionWe study the second-moment correlation length and the reduced susceptibility of two ferromagnetic Ising models with zero-temperature ordering. By introducing a scaling variable motivated by high-temperature series expansions, we are able to scale data for the one-dimensional Ising ferromagnet rigorously over the entire temperature range. Analogous scaling expressions are then applied to the two-dimensional fully frustrated Villain model where excellent finite-size scaling over the entire temperature range is achieved. Thus we broaden the applicability of the extended scaling method to Ising systems having a zero-temperature critical point.
dc.description8 pages, 8 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0809.1161
dc.identifierhttp://arxiv.org/abs/0809.1161
dc.identifierPhys. Rev. B 78, 184409 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.184409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223335
dc.subjectDisordered Systems and Neural Networks
dc.titleExtended scaling for ferromagnetic Ising models with zero-temperature transitions
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