**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.

The lecture is given together with Martin Eckstein.

Intro

Lecture notes part 1

Lecture notes part 2

Lecture notes part 3

Lecture notes part 4

Lecture notes part 5

Lecture notes part 6

Lecture notes part 7

Lecture notes part 8

Lecture notes part 9

Lecture notes part 10

Lecture notes part 11

Lecture notes part 12

Lecture notes part 13

Lecture notes part 14

Lecture notes part 15

Tutorials:

Sheet 1

Sheet 2

Sheet 3

Sheet 4

Sheet 7