Abstract

This dissertation addresses certain problems in the theory of two-dimensional disordered electron systems. We show that an approximate semianalytical description of the integer quantum Hall transition can be constructed by means of a real-space renormalization group procedure for the Chalker-Coddington network model. For two-dimensional electrons with spin-orbit (SO) coupling we calculate the density of states within the coherent potential approximation, and show that the result becomes asymptotically exact in the limit of strong SO coupling.

Date

March 9, 2026

Authors

Aram Galstyan

Institution

The University of Utah