Relaxational dynamics study of the classical Heisenberg spin XY model in spherical coordinate representation

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dc.creatorKim, Beom Jun
dc.creatorMinnhagen, Petter
dc.creatorOh, Suhk Kun
dc.creatorChung, Jean S.
dc.date2001-04-17
dc.date2001-05-25
dc.date.accessioned2026-07-07T02:41:04Z
dc.date.available2026-07-07T02:41:04Z
dc.descriptionThe two- and three-dimensional classical Heisenberg spin XY (CHSXY) models, with the spherical coordinates of spins taken as dynamic variables, are numerically investigated. We allow the polar $θ$ and azimuthal $ϕ$ angles to have uniform values in $[0,π)$ and $[-π, π)$, respectively, and the static universality class is shown to be identical to the classical XY model with two-component spins, as well as the CHSXY model with a different choice of dynamic variables, conventionally used in the literature. The relaxational dynamic simulation reveals that the dynamic critical exponent $z$ is found to have the value $z \approx 2.0$ for both two and three dimensions, in contrast to $z \approx d/2$ ($d=$ spatial dimension) found previously with spin dynamics simulation of the conventional CHSXY model. Comparisons with the usual two-component classical XY model are also made.
dc.description8 pages and 10 figures in two column
dc.identifierhttps://arxiv.org/abs/cond-mat/0104288
dc.identifierhttp://arxiv.org/abs/cond-mat/0104288
dc.identifierPhys. Rev. B 64, 024406 (2001)
dc.identifierdoi:10.1103/PhysRevB.64.024406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17605
dc.subjectStatistical Mechanics
dc.subjectSuperconductivity
dc.titleRelaxational dynamics study of the classical Heisenberg spin XY model in spherical coordinate representation
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