Anomalous diffusion of Dirac fermions

Groth, C.W. (2010)

Doctoral Thesis

This thesis addresses a variety of systems in which the diffusion is anomalous, mainly motivated by recent experimental developments. The main topics discussed are: * We look at the consequences that subdiffusion on fractals has for shot noise. * The effects correlations have on superdiffusion in one dimension are examined. * We develop and demonstrate the usefulness of a method to simulate the anomalous diffusion of Dirac fermions in a computer. * A spin precession experiment in topological insulators is proposed and analyzed. * We present the mechanism for the conversion of an ordinary insulator into a topological insulator by disorder which was reported in the literature, on the basis of computer simulations, but had remained unexplained.

• Anomalous diffusion
• Dirac fermions
• Mesoscopic systems
• Quantum transport
• Shot noise
• Topological Anderson insulator
• Topological insulators

• All authors: Groth, C.W.
• Supervisor: Beenakker, C.W.J.
• Co-supervisor: Tworzydło, J.
• Committee: Barkema, G.T.; Hilgenkamp, J.W.M.; Ruitenbeek, J.M. van; Waintal, X.
• Qualification: Doctor (dr.)
• Awarding Institution: Leiden Institute of Physics (LION), Faculty of Science, Leiden University
• Date: 2010-12-08
• Title of host publication: Casimir PhD Series
• ISBN (print): 9789085930907
• Name: 2010-30
• Court: LEI Universiteit Leiden
• Sponsorship: Dutch Science Foundation NWO/FOM.