Critical exponent of the lattice London superconductor and vortex loops in the 3D XY model
Department of Theoretical Physics, Umeå University -
901 87 Umeå, Sweden
Accepted: 5 March 2002
The anomalous dimension of the lattice London superconductor is determined from finite-size scaling of the susceptibility to be . It is furthermore found that the vanishing of the vortex loop line tension in the 3D XY model, which should be related to that exponent, agrees reasonable well with this value of . Deviations from this behavior are however also identified and it is suggested that they are an effect of the vortex loop intersections and therefore will vanish only in the limit of low vortex density.
PACS: 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 74.40.+k – Fluctuations (noise, chaos, nonequilibrium superconductivity, localization, etc.) / 64.60.Fr – Equilibrium properties near critical points, critical exponents
© EDP Sciences, 2002