Many-Body Theory in Condensed Matter (SS2022)

Vorlesung im Vertiefungsgebiet "Theoretische Physik"

Current information:

The lecture/tutorial will be given in a hybrid form. In BZW/A120, it is recommended to wear a mask.
Course enrolment: use OPAL link or send the lecturer an email.

Lectures/tutorials:

Monday & Thursday, 14:50 - 16:20, BZW/A120 + Zoom
First lecture: 04.04.2022 (Monday)

Information sheet
Course outline (tentative)

Lecture notes:

(Link to videos)
Lecture1 Path integral (04.04.2022)
Lecture2 Classical XY model (07.04.2022)
Lecture3 Symmetry breaking (11.04.2022)
Lecture4 Goldstone boson (21.04.2022)
Lecture5 Mermin-Wagner theorem (25.04.2022)
Lecture6 Kosterlitz-Thouless phase (02.05.2022)
Lecture7 Kosterlitz-Thouless transition (I) (05.05.2022)
Lecture8 Kosterlitz-Thouless transition (II) (09.05.2022)
Lecture9 Functional integral for bosons (16.05.2022)
Lecture10 BEC & superfluidity (I) (19.05.2022)
Lecture11 BEC & superfluidity (II) (23.05.2022)
Lecture12 Grassmann integral for fermions (30.05.2022)
Lecture13 BCS theory (13.06.2022)
Lecture14 Majorana zero mode & Ising anyon (16.06.2022)
Lecture15 Majorana field theory & Jackiw-Rebbi mechanism (20.06.2022)
Lecture16 Schwinger boson & spin coherent state (27.06.2022)
Lecture17 Haldane's conjecture (30.06.2022)
Lecture18 AKLT model (04.07.2022)
Lecture19 Parton construction (11.07.2022)
Lecture20 Kitaev's honeycomb model (14.07.2022)

Exercises:

Exercise1 (tutorial: 14.04.2022); Solution1
Exercise2 (tutorial: 28.04.2022); Solution2
Exercise3 (tutorial: 12.05.2022); Solution3 (extra note).
Exercise4 (tutorial: 02.06.2022); Solution4
Exercise5 (tutorial: 23.06.2022); Solution5
Exercise6 (tutorial: 07.07.2022); Solution6

References:

N. Nagaosa, Quantum Field Theory in Condensed Matter Physics, Springer (1999).
N. Nagaosa, Quantum Field Theory in Strongly Correlated Electronic Systems, Springer (1999).
A. Altland and B. Simons, Condensed Matter Field Theory, Cambridge University Press (2010).
C. Mudry, Lecture Notes on Field Theory in Condensed Matter Physics, World Scientific (2014).
P. Coleman, Introduction to Many-Body Physics, Cambridge University Press (2015).
X.-G. Wen, Quantum Field Theory of Many-Body Systems, Oxford University Press (2004).
T.-K. Ng, Introduction to Classical and Quantum Field Theory, Wiley-VCH (2009).
E. Fradkin, Field Theories of Condensed Matter Physics, Cambridge University Press (2013).
G. D. Mahan, Many-Particle Physics, Plenum Press (1990).