Teaching

University of Bremen, Sommersemester 2024
Theoretische Physik 2 (Mechanik)
Theoretische Festkörperphysik 2: Vielteilchenphysik – Einführung in die Technik der Feynman-Diagramme
Computer als Werkzeug — Dr. Christof Köhler

QuCoLiMa school of basics 8.-10.4.2024
Invited Lecturer for the QuCoLiMa school on light-matter interactions in Erlangen (SFB/Transregio 306 “Quantum Cooperativity of Light and Matter”)

University of Bremen, Wintersemester 2023/24
Theoretische Physik 1 (Mathematische Vorbereitungen)
Höhere Quantenmechanik (Quantenmechanik atomarer Systeme / Quantendynamik) — mit Bálint Aradi

University of Bremen, Sommersemester 2023
Theoretische Festkörperphysik 2
Vielteilchenphysik – Einführung in die Technik der Feynman-Diagramme

Contents:
(1) Hubbard model
Hubbard_Model_01-09
Hubbard_model_10-14
Hubbard_model_15-23
Hubbard_Model_24-32

(2) Green’s functions — a primer in many-body perturbation theory
Greens_functions_1-7
Greens_functions_8-20
Greens_functions_21-28
Greens_functions_29-44

Resources:
Richard Scalettar, Lecture Notes on the Hubbard Model.
Gianluca Stefanucci and Robert van Leeuwen, Nonequilibrium Many-Body Theory of Quantum Systems — A Modern Introduction, Cambridge University Press.

University of Bristol, winter term 2023
January – March 2023
Methods of Theoretical Physics (complex analysis)

Virtual Science Forum, Floquet Summer School 2022
September 13-22, 2022, Organizer.
Link to school page.
Link to YouTube playlist of recorded lectures.

School „4th biennial QDev/NBIA PhD Summer School 2022“
Niels Bohr Institute in Copenhagen, July 6 – 8, 2022
Whiteboard part of lecture: See Lecture Notes starting from page 12.
Slides
Tutorial

MPSD Hamburg, Sommersemester 2022
IMPRS Core Course: Solid State Physics
Lecture:
Location: Zoom.
Dates: May 10-13, 2022.
Tuesday – Friday, 9:30 – 12:30.
Course material:
Notes part 1: Drude model, band theory
Hands-on tutorial: Computation of 2D band structures with plane-wave expansion
Band structure source code (C++), script for plots
Plots of band structures
Notes part 2: Tight-binding, screening
Notes part 3: Phonons, Peierls transition, Ginzburg-Landau theory
Notes part 4: Magnetism

School „Topological Quantum Matter: theory and applications“
Santa Margherita Ligure, March 28 – April 1, 2022
Whiteboard part of lecture: See Lecture Notes starting from page 12.
Slides

University of Bremen, Wintersemester 2021
Vorlesung Theoretische Festkörperphysik (in German)
Start: 18.10.2021
Montag, 12:15 – 14:00
Mittwoch, 14:15 – 16:00
Skript:
Skript_01_02
Skript_03_04
Skript_05
Skript_06
Skript_07
Skript_08
Skript_09
Herleitung Berry-Phase

ETH Zurich, Wintersemester 2021
Michael will visit the Pauli Center for Theoretical Studies in Zurich and give a guest lecture series on “Engineering quantum materials through light-matter interactions” at the ETH Zurich Physics Department in the week September 27 – October 1, 2021.


Lecture announcement as PDF
Lecture Notes

MPSD Hamburg, Sommersemester 2021
IMPRS Focus Course: Hubbard Model
Lecture:
Location: Zoom
Dates: June 14-18, 2021.
09:30 – 12:30.
Course material:
Lecture notes
Hands-on: Single-site Hubbard model (zip file with python script and plots by Gabriel)
Tutorial: Mean-field antiferromagnetism in the Hubbard model 
Solution: Part 1, Part 2
Useful references:
Pedagogical lecture notes by Richard Scalettar

MPSD Hamburg, Wintersemester 2020/21
IMPRS Core Course: Solid State Physics
Lecture:
Location: Zoom.
Dates: February 22-26, 2021.
Monday – Friday, 9:30 – 12:30.
Course material:
Notes part 1: Drude model, band theory
Hands-on tutorial: Computation of 2D band structures with plane-wave expansion
Band structure source code (C++), script for plots
Plots of band structures
Notes part 2: Tight-binding, screening
Notes part 3: Phonons, Peierls transition, Ginzburg-Landau theory
Notes part 4: Magnetism

University of Bremen, Sommersemester 2020
Vorlesung Theoretische Mechanik
Start: 23.04.2020
Thursday, 14:00 – 16:00
Friday, 10:00 – 12:00
Plan of the lecture

MPSD Hamburg, Wintersemester 2019/20
IMPRS Focus Course: Strongly Correlated Electrons from the Perspective of Dynamical Mean-Field Theory
Lecture:
Location: Sem. Rm. O1.060, CFEL building 99, DESY campus.
Dates:
Monday, November 4, 2019: 14:30 – 17:30
Tuesday – Friday, November 5-8, 9:30 – 12:30
Course material:
Review by Vollhardt, Byczuk, and Kollar (2011)
DMFT slides by Marcus Kollar
Introductory Physics Today article on dynamical mean-field theory by Kotliar and Vollhardt
Example code to solve DMFT with IPT (by Naoto Tsuji)

MPSD Hamburg, Sommersemester 2019
Organization of UXSS 2019 Summer School, June 17-21, 2019
Link to UXSS 2019 Website

MPSD Hamburg, Sommersemester 2019
IMPRS Core Course: Solid State Physics
Lecture:
Location: Sem. Rm. O1.109, CFEL building 99, DESY campus.
Dates: April 29 – May 3, 2019.
14:30 – 17:30.
Course material:
Notes part 1: Drude model, band theory
Hands-on tutorial: Computation of 2D band structures with plane-wave expansion
Band structure source code (C++), script for plots
Plots of band structures
Notes part 2: Tight-binding, screening
Notes part 3: Phonons, Peierls transition, Ginzburg-Landau theory
Notes part 4: Magnetism

MPSD Hamburg, Wintersemester 2018/19
IMPRS Focus Course: Hubbard Model
Lecture:
Location: Sem. Rm. O1.060, CFEL building 99, DESY campus.
Dates: November 26-30, 2018.
14:30 – 17:30.
Course material:
Lecture notes
Hands-on: Single-site Hubbard model (zip file with python script and plots by Gabriel)
Tutorial: Mean-field antiferromagnetism in the Hubbard model 
Solution: Part 1, Part 2
Useful references:
Pedagogical lecture notes by Richard Scalettar

MPSD Hamburg, Sommersemester 2018
IMPRS Core Course: Solid State Physics
Lecture:
Location: Sem. Rm. IV, CFEL building 99, DESY campus.
Dates: May 14-18, 2018.
Monday, 14:30 – 17:30; Tuesday – Friday, 9:30 – 12:30.
Course material:
Notes part 1: Drude model, band theory
Hands-on tutorial: Computation of 2D band structures with plane-wave expansion
Band structure source code (C++), script for plots
Plots of band structures
Notes part 2: Tight-binding, screening
Notes part 3: Phonons, Peierls transition, Ginzburg-Landau theory
Notes part 4: Magnetism

MPSD Hamburg, Wintersemester 2017/18
IMPRS Focus Course: Topological band theory
Lecture:
Location: Sem. Rm. V, CFEL building 99, DESY campus.
Dates: January 29 – February 2, 2018.
14:30 – 17:30.
Course material:
Lecture notes
Excursion: Time-reversal symmetry and Kramers theorem
Tutorials:
Kitaev chain and Majorana edge modes
Chern insulator on a ribbon with chiral edge modes
Useful references:
Online course: “Topology in Condensed Matter: Tying Quantum Knots”
Charlie Kane’s lecture notes “Topological band theory and the Z2 invariant”
Review article by Hasan and Kane on topological insulators
Review article by Qi and Zhang on topological insulators and superconductors

IMPRS Focus Course: Superconductivity
Lecture:
Location: Sem. Rm. V, CFEL building 99, DESY campus.
Dates: November 20-24, 2017.
14:30 – 17:30.
Course material:
Lecture Notes
Presentation on high Tc materials

MPSD Hamburg, Sommersemester 2017
IMPRS Core Course: Solid State Physics
Lecture:
Location: Sem. Rm. IV, CFEL building 99, DESY campus.
Dates: May 2-5, 2017.
Tuesday, 9:00 – 12:30; Wednesday, 9:30 – 13:00 (hands-on tutorial); Thursday, 12:00 – 16:15; Friday, 9:30 – 13:00.
Course material:
Notes part 1: Drude model, band theory
Hands-on tutorial: Computation of 2D band structures with plane-wave expansion
Band structure source code (C++), script for plots
Plots of band structures
Notes part 2: Tight-binding, screening
Notes part 3: Phonons, Peierls transition, Ginzburg-Landau theory
Notes part 4: Magnetism
The course was based on the previous lecture given by Martin Eckstein:
Lecture notes Martin Eckstein, IMPRS course 2016

University of Hamburg, Wintersemester 2016/17
Master Course: Field Theory for Nonequilibrium Systems
Lecture:
Wednesday 8:30 – 10:30, Jungiusstrasse 9, Seminar Room 6
Friday 14:25-15:55, CFEL building, Luruper Chaussee 149 (DESY), SR O2.104 (2nd floor).
Exercises:
Friday 16:10-17:40, CFEL building 99, Luruper Chaussee 149 (DESY), SR O2.104 (2nd floor).
How to get to CFEL.

The study of non-equilibrium phenomena in many-body systems has become a very active field of research, with applications to laser-induced dynamics in complex solids and cold atom systems (“quantum simulators”), as well as transport in quantum dots and nanostructures. The course will cover the basic theoretical concepts in this field (using the language of path integrals and field theoretical techniques), including non-equilibrium statistical physics, classical stochastic systems (Langevin Equation, Fokker-Planck equation), the Keldysh formalism, and quantum transport.