Random Matrix Approach to Universality Phenomena in Disordered Quantum Systems

Random Matrix Approach to Universality Phenomena in Disordered Quantum Systems

Theoretically analysing first principle models of disordered quantum systems, such as quantum dots or quantum wires, is extremely challenging and often impossible. However, most macroscopically observable emergent phenomena, e.g. electric conductivity, are universal. They do not depend on microscopic details. Together with two PhD students and three postdocs the project will make use of this fact by investigating and classifying such phenomena within more accessible coarse grained random matrix models.