# Theory of Disordered Systems

## Lecture details

The lecture will be given by Professor Mazzarello.

**Description:**

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

**Recommended requirements**
**:**

- 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

**Literature**
**:**

- E. N. Economou, “Green’s Functions in Quantum Physics”, Springer, 1979
- N. W. Ashcroft and N. D. Mermin, “Solid State Physics”, Saunders College Publishing, 1976
- J. Rammer, “Quantum Transport Theory”, Perseus Books, Reading, 1998
- B. Kramer and A. MacKinnon, “Localization: theory and experiments”, Rep. Prog. Phys. 56, 1469, 1993
- M. Janben, O. Viehweger, U. Fastenrath and J. Hajdu, “Introduction to the Theory of the Integer Quantum Hall Effect”, VCH, Weinheim, 1994
- S. M. Girvin, “The Quantum Hall Effect: Novel Excitations and Broken Symmetries”, http://arxiv.org/abs/condmat/9907002
- I. M. Lifshitz, S. A. Gredeskul and L. A. Pastur, “Introduction to the Theory of Disordered Systems”, Wiley, New York, 1997

Time | Room | Start/Finish |
---|---|---|

Tues. 2.30pm - 5pm |
4273 (MBP2 015) |
02.04.2019 - 09.07.2019 (13 dates) |