Dr. Victor Kagalovsky (Negev Academic College of Engineering, Israel)
"Various facets of Chalker-Coddington network model"
We briefly discuss various applications of the Chalker-Coddington network model, starting with the original one, proposed to describe inter-plateaux transition in the integer quantum Hall effect (IQHE). We then present generalization appropriate for the IQHE allowing to include spin, and conclude with recent applications to dirty superconductors. We then describe how numerical calculations on an open network produce data for the localization length behavior in the metal-insulator transition, whereas calculations on the closed system allows elucidation of various levels statistics. We discuss how numerical algorithm for systems with additional symmetries is modified in order to improve the accuracy. We finally present results for the nearest-neighbor spacing distribution in dirty superconductors.