Theory of Disordered Systems


Lecture details

The summer semester is held as a digital semester. In principle, as agreed by the universities in North Rhine-Westphalia, all courses that can be offered remotely will take place online for the entire summer semester.

The lecture will be given by Prof. Mazzarello.


  • Basic notions: localization of electronic states due to disorder
  • Methods: Green’s functions, Feynman diagrams, Boltzmann equation
  • Weak localization
  • Scaling theory of localization
  • Quantum Hall Effect
  • Recent applications: phase-change materials, graphene, topological insulators


  • Quantum Mechanics
  • Solid State Physics

Learning goal:

The aim of this course is to provide a thorough introduction to the effects of disorder on the electronic and transport properties of solids. The main focus will be on weak-localization theory, Anderson localization - i.e. the localization of electronic wave functions due to disorder, Anderson metal-insulator transitions, and the quantum Hall effect. Green's functions and diagrammatic methods will also be introduced. In the last part of the course, recent developments will be discussed, including the effects of disorder in graphene and in topological insulators.

Time Room


Tues. 2.30pm - 5pm N/A 07.04.2020 - 14.07.2020