Rapidly-converging methods for the location of quantum critical points from finite-size data

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dc.creatorRoncaglia, M.
dc.creatorVenuti, L. Campos
dc.creatorBoschi, C. Degli Esposti
dc.date2008-01-21
dc.date2008-04-10
dc.date.accessioned2026-07-07T09:31:13Z
dc.date.available2026-07-07T09:31:13Z
dc.descriptionWe analyze in detail, beyond the usual scaling hypothesis, the finite-size convergence of static quantities toward the thermodynamic limit. In this way we are able to obtain sequences of pseudo-critical points which display a faster convergence rate as compared to currently used methods. The approaches are valid in any spatial dimension and for any value of the dynamic exponent. We demonstrate the effectiveness of our methods both analytically on the basis of the one dimensional XY model, and numerically considering c = 1 transitions occurring in non integrable spin models. In particular, we show that these general methods are able to locate precisely the onset of the Berezinskii-Kosterlitz-Thouless transition making only use of ground-state properties on relatively small systems.
dc.description9 pages, 2 EPS figures, RevTeX style. Updated to published version
dc.identifierhttps://arxiv.org/abs/0801.3238
dc.identifierhttp://arxiv.org/abs/0801.3238
dc.identifierPhys. Rev. B 77, 155413 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.155413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158383
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleRapidly-converging methods for the location of quantum critical points from finite-size data
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