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TVI/TMP-TA4: Condensed Matter Many Body Physics and Field Theory II – Overview

  • Overview

Condensed Matter Many-Body Physics and Field Theory II (TMP-TA 4)

Björn Sbierski
B.Sbierski@lmu.de
Ludwig-Maximilians-Universität München
Wintersemester 2021/22

Announcements

  • There is news about the exam - see below.
  • The last half-lecture before the break (Dec. 21, starting 13:00) will be dedicated to the presentation of available Master thesis topics in theoretical solid state physics. Anybody is welcome, please bring your peers!  

Organization

• Lectures: In-person teaching, start on Oct. 18, 2021. Last lecture Tuesday Feb. 08, 2022.

– Mondays: 14:15 - 16:00 (Theresienstr. 37, A348)
– Tuesdays: 12:15 - 14:00 (Theresienstr. 41, C111)

• Tutorial sessions: with Johannes Halbinger (johannes.halbinger@physik.uni-muenchen.de), start on Oct. 26, 2021.

– Tuesdays: 16:15 - 18:00 (Theresienstr. 37, A450)

– Weekly homework will be assigned in the Monday lecture and collected one week later at the start of the lecture. The homework will be graded according to a coarse grading scheme with 0, 1 or 2 points per problem. In the tutorial session, the homework will be handed back and the solutions will be discussed.

– A bonus on the final grade (1.3 -> 1.0, 1.7 -> 1.3, 2.0 -> 1.7 etc.) will be granted to candidates who (i) earned at least 50% of all available homework points and (ii) presented at least one homework problem at the board in the tutorial session.

• Exam (9 ETCS): Tuesday, February 22, 2022, 10:00-12:00, room A348: Closed book exam, no electronic devices allowed, 120 minutes.
If you have a time-conflict with other exams, please bring it up in the next lecture or via eMail.

Prerequisites

• Quantum Mechanics, Solid State Theory, Statistical Physics
• Condensed Matter Many-Body Physics and Field Theory I (TMP - TA 3)
(basics of quantum field theory, correlation functions, functional integral, generating functionals, perturbation theory)

Literature

[Altland] Alexander Altland and Ben Simons, Condensed Matter Field Theory, Cambridge University Press, 2nd Edition
[Cardy] John Cardy, Scaling and Renormalization in Statistical Physics, Cambridge Lecture Notes in Physics
[Kamenev] Alex Kamenev, Field Theory of Non-Equilibrium Systems, Cambridge University Press
[Kopietz] Peter Kopietz, Lorenz Bartosch, Florian Schütz, Introduction to the Functional Renormalization Group,   Lecture Notes in Physics

Contents (short)

1. Renormalization Group (Phase transitions and universality, scaling hypothesis, mean-field-theory and Gaussian fluc-tuations, Wilsonian RG, functional RG)
2. Topology (Berry Phase, Integer Quantum Hall Effect, Topological Insulators, Fractional Quantum Hall Effect)
3. Non-Equilibrium (Keldysh formalism, kinetic equation

Homework (due on)

Oct. 25, 2021:  2.4.1 and 2.4.2
Nov. 02, 2021: 3.4.1 and 3.4.2   (public holiday on Nov. 01, 2021)
Nov. 08, 2021: 4.4.1 and 4.4.2 and 4.4.3
Nov. 15, 2021: 5.7.1
Nov. 22, 2021: 5.7.2 and 5.7.3
Nov. 29, 2021: 5.7.4 and 5.7.5
Dec. 06, 2021: 5.7.6
Dec. 13, 2021: 6.5.1 and 6.5.2 and 6.5.3
Dec. 20, 2021:
Jan. 10, 2022:
Jan. 17, 2022:
Jan. 24, 2022:
Jan. 31, 2022:
Feb. 07, 2022:


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Lecture notes

Link to notes