Dynamic scaling theory of the Kosterlitz-Thouless-Berezinskii transition: ubiquitous finite size effects

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dc.creatorColonna-Romano, Louis
dc.creatorPierson, Stephen W.
dc.creatorFriesen, Mark
dc.date2000-09-14
dc.date.accessioned2026-07-07T02:38:44Z
dc.date.available2026-07-07T02:38:44Z
dc.descriptionA numerical study of the neutral two-dimensional (2D) lattice Coulomb gas is performed to examine dynamic scaling, finite size effects, and the dynamic critical exponent $z$ of the Kosterlitz-Thouless-Berezinskii transition. By studying large system sizes ($L=100$), we show $z=2.0 \pm0.2$ using Fisher-Fisher-Huse (FFH) scaling. We also present evidence that the vortex correlation length is finite below the transition temperature, in contrast to conventional wisdom. Finally, we conclude that previous findings for a variety of experimental systems that $z\simeq 5.6$ using FFH scaling indicates that finite size effects are ubiquitous in 2D superconductors and Josephson Junction Arrays.
dc.description8 pages, 7 embedded figures, RevTex
dc.identifierhttps://arxiv.org/abs/cond-mat/0009226
dc.identifierhttp://arxiv.org/abs/cond-mat/0009226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16779
dc.subjectSuperconductivity
dc.subjectStatistical Mechanics
dc.titleDynamic scaling theory of the Kosterlitz-Thouless-Berezinskii transition: ubiquitous finite size effects
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