Properties of localized condensation on a ladder superconducting network.

Abstract

The properties of the localized condensation on a ladder superconducting network are studied using the theory of de Gennes and Alexander. With the use of the analytic Green's functions obtained in the preceding paper, the phase boundary, wave function, and current vortex structure of the localized condensation are studied exactly for various kinds of impurities. In some cases, the fine structure appears in the phase boundary. The locations of the fine structure depend mainly on the flux in the loop formed by the impurities. In general, two regions are defined and there are two types of the current structures, depending on in which region the localized condensation occurs. For various reasons, it is also found that in some situations that depend on the impurity condition and magnetic field strength the localized condensation cannot occur. The implications of the results of this work for the properties of the localized condensation in a two-dimensional network are discussed.