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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

Feb 28: The course grades (see below) have been submitted to the central examination office ("Prüfungsamt"). If you need an additional certificate ("Schein"), please contact me via eMail. (I am on vacation in the week of March 7.)

Exam results

ID Points Grade Grade incl. bonus
03755580 20 1.0 1.0
11813857 18 1.7 1.3
12232257 18 1.7 1.3
12332934 18 1.7 1.3
12321126 12 3.3 3.0
03753544 9 4.3 4.0

Optional exam review was on Friday, Feb 25, 13:00 - 15:00 in office A418 (Theresienstr. 37).

Have a nice semester break!

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, only one DINA4 sheet of personal notes allowed (both sides ok), no electronic devices allowed, 120 minutes.

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. Non-Equilibrium (Keldysh formalism, kinetic equation)
3. Topology (Berry Phase, Integer Quantum Hall Effect, Symmetries, Topological Insulators)

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: 6.5.4 and 6.5.5
Jan. 10, 2022: 7.6.1
Jan. 17, 2022: 8.3.1 and 9.4.1
Jan. 24, 2022: 9.4.2 and 10.1.1
Jan. 31, 2022: 12.1 and 12.2
Feb. 07, 2022: 12.3 and 12.4

Lecture notes (including homework exercises)

Link to notes