Effects of anisotropy and layering in the high-temperature superconductors

The key building blocks of the high-temperature copper-oxide superconductors are the CuO2 layers, on which superconductivity tends to be localized and along which the normal-state electrical conductivity is highest. Separating these layers (or bilayers, trilayers, etc.) are locally nonsuperconducting layers, which can be modeled as proximity junctions or tunnel junctions. In this paper I summarize some consequences of a theoretical model for strongly anisotropic high-temperature superconductors in which the interlayer regions are treated as Josephson junctions. In such a model, the vortex lines threading through the structure are best visualized as stacks of two-dimensional pancake vortices connected by Josephson strings. The two-dimensional pancake vortices are centered on the layers and have Abrikosov cores, while the Josephson strings are confined to the junctions and have Josephson cores. Outside the cores, the field and current distributions can be calculated from the anisotropic Ginzburg-Landau (or London) theory. Various features of the flux-pinning anisotropy can be explained using these approaches.