Andreas Mielke
Institut für Theoretische Physik
Ruprecht-Karls Universität
Philosophenweg 19
D-69120 Heidelberg
Germany
Tel.: ++49 6221 549431 (Sekretariat)
Fax: ++49 6221 549331
e-mail: mielke@tphys.uni-heidelberg.de

Lehrveranstaltungen im Wintersemester 2016/17

Advanced Condensed Matter Theory

Place and time: Tuesday, 9-11am, Philosophenweg 19, Seminar room

Exercises: Monday, 4-6pm, Philosophenweg 12, Seminar room

The course will be hold in English.

Oral exams: February 16, Philosophenweg 12, Seminar room 107b

During the last years condensed matter theory made an enormous progress. New phenomena led to new methods and concepts. The goal of this course is to introduce these methods and concept and to understand some of the new phenomena.

Important new phenomena are:

• high temperature superconductivity (nobel prize 1987)
• fractional quantum hall effect (nobel prize 1998),
• superfluidity in Helium 3 (nobel prize 1996),
• superconductors and superfluids (nobel prize 2003),
• topological phase transitions (nobel prize 2016).

One focus of this course are methods to treat such systems. We will start with second quantization, and we will develop a field theoretical formulation of models of interacting fermions or bosons. This serves as a starting point for perturbational approaches, for effective field theories, and for renormalization.

The second focus is to use these and other methods to understand the physics of strongly correlated systems, esp. strongly correlated Fermi systems. The above mentioned examples fall into this class, as well as several other phenomena we will discuss in this course.

Literature, which may be useful for this course:

• J.W. Negele, H.Orland: Quantum Many-Particle Systems. Addison Wesley, Redwood etc 1988.
• E. Fradkin: Field Theories of Condensed Matter Systems. Addison Wesley, Redwood etc 1991.

Please find the script here. There may be a German version of the script as well, it is not yet available. The script will be written in parallel to the course.

Tutorial

1. Monday, Oct. 24, 2016
2. Monday, Oct. 31, 2016: No Exercise
3. Monday, Nov. 7, 2016: No Exercise
4. Monday, Nov. 14, 2016
5. Monday, Nov. 21, 2016
6. Monday, Nov. 28, 2016
7. Monday, Dec. 5, 2016
8. Monday, Dec. 12, 2016
9. Monday, Dec. 19, 2016. Please read esp. chapters 3 to 8, they will be discussed during the tutorial.
10. Monday, Jan. 9, 2017. The paper contains also the references to the other articles mentioned in the course. This is the version from arxiv.org, please consider downloading the article from PRL.
11. Monday, Jan. 16, 2017. The paper contains not only some important results on the Hubbard model, it also contains important proof techniques.
12. Monday, Jan. 23, 2017.
13. Monday, Jan. 30, 2017. Please read esp. chapters VIII and IX. They provide details to the field theoretic treatment of the tJ-model discussed in the last lecture.
14. Monday, Feb. 6, 2017. The date and the topic are just proposals. You may as well continue with the topic of last week, change the date, or cancel the tutorial, since you have exam week.

Letzte Änderung: 9.8.2017. mielke@tphys.uni-heidelberg.de