Instanton correlators and phase transitions in two- and three-dimensional logarithmic plasmas

Simple item page
dc.creatorBorkje, K.
dc.creatorKragset, S.
dc.creatorSudbo, A.
dc.date2004-12-10
dc.date.accessioned2026-07-07T03:02:37Z
dc.date.available2026-07-07T03:02:37Z
dc.descriptionThe existence of a discontinuity in the inverse dielectric constant of the two-dimensional Coulomb gas is demonstrated on purely numerical grounds. This is done by expanding the free energy in an applied twist and performing a finite-size scaling analysis of the coefficients of higher-order terms. The phase transition, driven by unbinding of dipoles, corresponds to the Kosterlitz-Thouless transition in the 2D XY model. The method developed is also used for investigating the possibility of a Kosterlitz-Thouless phase transition in a three-dimensional system of point charges interacting with a logarithmic pair-potential, a system related to effective theories of low-dimensional strongly correlated systems. We also contrast the finite-size scaling of the fluctuations of the dipole moments of the two-dimensional Coulomb gas and the three-dimensional logarithmic system to those of the three-dimensional Coulomb gas.
dc.description15 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0412281
dc.identifierhttp://arxiv.org/abs/cond-mat/0412281
dc.identifierPhys. Rev. B 71, 085112 (2005)
dc.identifierdoi:10.1103/PhysRevB.71.085112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25458
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleInstanton correlators and phase transitions in two- and three-dimensional logarithmic plasmas
dc.typetext

Files

Collections

arXiv