- University of Siegen - Department of Physics - Theoretical Quantum Optics Group -

Lectures: H. Chau Nguyen (email)

Exercises: Jens Borgermeister (email)

Time and place: 8-10 Friday, Online (Lectures); 16-18 Thursday, Online (Exercises);

- Basic quantum mechanics
- Linear algebra and analysis

- General overview of condensed matter physics
- CMP phases, crystals and their symmetry, X-ray scattering
- Phonons, thermal properties, neutron scattering, the Moessbauer's effect
- Electron in the lattices, band-gap theory, tight-binding models, topology
- Basic theory of transport, Hall effect
- Quantum transport, Anderson localisation, quantum Hall effect
- Basic aspects of interacting models

- Anderson, "More is different," Sience 177 393 (1972)
- Schweber, "Physics, community and the crisis in physical theory," Phys. Today 46 34 (1993)

- Quantum mechanical description of oscillatory excitations (slides, currently password protected due to some copyrighted figures.)
- Thermal properties (video record).
- Neutron scattering (video record).
**Further reading:**Ashcroft and Mermin's book, Chapter 24 and Appendix N; Girvin and Yang's book Chapter 4.

- Bloch theorem (video record).
- Kronig -- Penney model (video record).
- Tight binding models (video record).
- Basic physics of metals, semiconductors and insulators (video record). I highly recommend Steven Simon's book, Chapter 16-18 for further reading!!!
- Peierls' instablity and soliton exictations in polyacetylene (video record). Further reading: Su et al PRB 22 2099 (1980); Girvin's book, Chapter 7.
- Geometry and topology in band theory (1) (video record). Further reading: Girvin's book, Chapter 13.
- Geometry and topology in band theory (2) (video record). Further reading: Girvin's book, Chapter 13.

- Steven M. Girvin and Kun Yang,
*"Modern condensed matter physics,"*Cambridge University Press 2019.

This is a modern approach to condensed matter theory, which is also the approach I adopted for this course. The contents of the course are however adapted/simplified so that it is suitable also for advanced undergraduate students. - Ashcroft and Mermin,
*"Solid state physics,"*Thomson 1976.

This is a somewhat more traditional approach to solid state physics. Occasionally I use this to supply more intuition when necessary. - Steven H Simon,
*"The Oxford Solid state basics,"*Oxford 2019.
Although we do not adopt this approach to our course, it is still a good reference to learn more physical intuition.
- Alexander Zagoskin,
*"Quantum theory of Many-body systems,"*Springer 2014.
One can use the first chapters somehow to have a big and coherent picture from single-particle theory to many-particle theory,
although most of the time in this course we stay in the single-particle theory.
- Alexander Altland and Ben Simons,
*"Condensed Matter Field Theory,"*Oxford 2007.
This is somewhat advanced for our purpose. Yet, here and there one can find good physical insights in the discussions of various physical phenomena.