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Abstract
The topics covered in this class are: superfluidity in weakly interacting Bose gas, the random phase approximation to the Coulomb interaction in the Jellium model, superconductivity within the random phase approximation, the renormalization group analysis of non-linear-sigma models and of the Kosterlitz-Thouless transition.
Content
In this class I will show, by examples, how field theory can describe some important phenomena in condensed matter physics. The transition from a discrete to a continuum description is illustrated with the one-dimensional Harmonic chain both in classical and quantum mechanics in Lecture 1. Spontaneous symmetry breaking is introduced with the phenomenon of superfluidity for a weakly interacting Bose gas in Lecture 2. Lectures 3 and 4 deal with the physics of screening in the Jellium model for electrons at the level of the random phase approximation. Superconductivity is described within the mean-field and random-phase approximation in Lectures 5 and 6. The Caldeira-Leggett model for dissipation, in the context of a Josephson junction, is treated in Lectures 7 and 8. Classical non-linear-sigma models are introduced in Lecture 9 and their beta functions are calculated explicitly for the O(N)/O(N-1) target manifold in the 2+epsilon expansion in Lectures 9 and 10. The Kosterlitz-Thouless phase transition is discussed in a one-loop renormalization group analysis in Lecture 11. Lecture 12 is devoted to bosonization in (1+1)-dimensional space time.
General Information
- Language
- English
- Levels
- DS
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Field Theory in Condensed Matter Physics
Does not take place this semester.
|
No time listed | 2 h weekly |
| exercise |
Field Theory in Condensed Matter Physics
Does not take place this semester.
|
No time listed | 1 h weekly |
Offered In
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Mathematics, Computational Science and Engineering (Mathematics, Physics Those who want to register for elective courses in the diploma degree programme im Mathematics, should select these from the range of courses of the Master programme in Mathematics. Those who want to register for core subject and elective courses in the diploma degree programme in Physics, should select these from the range of courses of the Master programme in Physics (Core Courses: Theoretical Physics, Core Courses: Experimental Physics, Electives: Physics and Mathematics). The same holds for seminars and semester projects and papers.)
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