Interacting loop-current model of superconducting networks

Abstract

We review our recent approximation scheme to calculate the normal-superconducting phase boundary, Tc(H), of a superconducting wire network in a magnetic field in terms of interacting loop currents. The theory is based on the London approximation of the linearized Ginzburg-Landau equation. An approximate general formula is derived for any two-dimensional space-filling lattice comprising tiles of two shapes. We provide many examples illustrating the use of this method with a particular emphasis on the fluxoid distribution. In addition to periodic lattices, we also discuss quasiperiodic lattices and fractal Sierpinski gaskets. © 1992 Plenum Publishing Corporation.