Critical behavior of the three-dimensional XY universality class

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dc.creatorCampostrini, Massimo
dc.creatorHasenbusch, Martin
dc.creatorPelissetto, Andrea
dc.creatorRossi, Paolo
dc.creatorVicari, Ettore
dc.date2000-10-24
dc.date.accessioned2026-07-07T12:01:12Z
dc.date.available2026-07-07T12:01:12Z
dc.descriptionWe improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find alpha=-0.0146(8), gamma=1.3177(5), nu=0.67155(27), eta=0.0380(4), beta=0.3485(2), and delta=4.780(2). We observe a discrepancy with the most recent experimental estimate of alpha; this discrepancy calls for further theoretical and experimental investigations. Our results are obtained by combining Monte Carlo simulations based on finite-size scaling methods, and high-temperature expansions. Two improved models (with suppressed leading scaling corrections) are selected by Monte Carlo computation. The critical exponents are computed from high-temperature expansions specialized to these improved models. By the same technique we determine the coefficients of the small-magnetization expansion of the equation of state. This expansion is extended analytically by means of approximate parametric representations, obtaining the equation of state in the whole critical region. We also determine the specific-heat amplitude ratio.
dc.description61 pages, 3 figures, RevTeX
dc.identifierhttps://arxiv.org/abs/cond-mat/0010360
dc.identifierhttp://arxiv.org/abs/cond-mat/0010360
dc.identifierPhys.Rev.B63:214503,2001
dc.identifierdoi:10.1103/PhysRevB.63.214503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207023
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleCritical behavior of the three-dimensional XY universality class
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