TVI/TMP-TA3: Many Body Physics – Overview

Tutors

Sebastian Huber

Fabian Kugler

Details

You can inspect your exam (Klausureinsicht) on Aug. 6th at 14:00 at my office, or contact me per email to arrange an inspection.

You can collect the certificate (Schein) starting from next week (July 30th) in Mrs. Schoonover's office (room A419)

ATTENTION: the exam takes place on Tue., 24.7. at 10:00 in room B005.
(you're allowed to bring books, scripts, handwritten notes etc., but no electronic devices!)

There will be no lecture on Thursday, 12.7. Instead we will have a Q&A hour on Tuesday, 17.7. at 10:00 in room A450.

Lectures: Tuesdays 08:30 - 10:00 in room C111
               Thursdays 08:30 - 10:00 in room A348

Tutorials: Tuesdays 12:00 - 14:00 in room A249

Prerequisites: Quantum Mechanics, Statistical Physics, Solid State Theory

The aim of this course is to learn basic methods of modern many-body theory and to apply them to various problems in condensed matter physics. At the end of the course students should be familiar with the tools to follow current research topics and be able to start independent research.

Topics:

1. Second quantization & applications
   (Hubbard- and Heisenberg models, SDW mean-field theory, weakly interacting bosons, BCS-theory of superconductivity)
2. Functional integrals
   (Path-integral representation of the partition function, correlation functions)
3. Diagrammatic perturbation theory
   (Feynman diagrams, Hartree-Fock, RPA, screening and plasmons)
4. Linear response and Kubo formula
   (analytic properties of correlation functions, dielectric function, conductivity of disordered metals)
5. Hubbard-Stratonovich transformation, collective modes

Useful Literature:

A. Altland, B. Simons: "Condensed Matter Field Theory"
J.W. Negele, H. Orland: "Quantum Many-Particle Systems"
G.D. Mahan: "Many-particle physics"
A. Auerbach: "Interacting Electrons and Quantum Magnetism"

additional literature on special topics will be announced in the lecture

Credits/Exam:

9 ETCS credits. There will be a written exam on Tue., July 24th at 10:00. Details will be announced in due time.

Office Hours:

Tuesday, 14:00-16:00