Lattice-dependent magnetic structure in quantum network simulations of high-Tc superconductors

High-Tc superconductors exhibit reproducible magnetoconductance and microwave absorption spectra in weak magnetic fields. We have modeled the high-Tc ceramics as a network of superconducting wires weakly coupled at nodes. The conductivity and magnetization spectra for a large number of two- and three-dimensional regular lattice simulations at zero temperature are shown to exhibit periodic structure. Similar calculations have been carried out on two- and three-dimensional regular and irregular annuli. We examine this structure in detail by relating the power spectrum to the flux through all possible areas in the networks. This is done by showing that the total network S matrix is a function of the flux through an independent set of fundamental closed loops in the network. The zero-temperature calculations are extended to finite temperatures using a Monte Carlo method