**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:

Wonderful pedagogical lecture notes by Richard Scalettar

Introductory Physics Today article on dynamical mean-field theory by Vollhardt and Kotliar

**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