Random-matrix theory and stroboscopic models of topological insulators and superconductors

Dahlhaus, J.P. (2012)

Doctoral Thesis

Topological phases of matter are exceptional because they do not arise due to a symmetry breaking mechanism. Instead they are characterized by topological invariants -- integer numbers that are insensitive to small perturbations of the Hamiltonian. As a consequence they support conducting surface states that are protected against disorder and other imperfections. Furthermore, a variety of unusual transport properties arise due to the presence of topology. In this work the interplay between topology and sample imperfections is investigated with a focus on transport phenomena.

• Random-matrix theory
• Stroboscopic models
• Topological insulators
• Topological superconductors
• Transport

• All authors: Dahlhaus, J.P.
• Supervisor: Beenakker, C.W.J.
• Committee: Eliel, E.R.; Kouwenhoven, L.P.; Schomerus, H.; Zaanen, J.
• Qualification: Doctor (dr.)
• Awarding Institution: Instituut-Lorentz for Theoretical Physics, Faculty of Science, Leiden University
• Date: 2012-11-21
• Title of host publication: Casimir PhD Series
• ISBN (print): 9789085931379
• Name: 2011-29
• Court: LEI Universiteit Leiden
• Sponsorship: Foundation for Fundamental Research on Matter (FOM)