Condensed Matter Theory
Practice groups
 Group 02 (Kai Arnold)
9 participants
Philos.weg 19 / SR, Mon 11:15  13:00  Group Hav (Giacomo Bighin)
20 participants
Philos.weg 19 / SR, Mon 9:15  11:00
Lecture content
 The Drude Theory of Metals
 The Sommerfeld Theory of Metals
 Electrons in a periodic potential
 Tight binding
 Bandstructure, Fermisurface, Density of states, Metals, Insulators, Semiconductors
 Semiconductor physics
 Surface states
 Phonons and disorder
 Relativistic corrections  spinorbit coupling
 Phase transitions and topology
 Response functions
 Second quantization
 Green's functions (on an independent particle level)
 Self energy (for surface states and disorder)
Levels of theory discussed will be
 Meanfield theory
 HartreeFock
 Density functional theory
Recommended literature

Ashcroft / Mermin
Solid State Physics 
Kittel
Introduction to Solid State Physics 
Mattuck
A guide to Feynman Diagrams in the ManyBody Problem 
E.N. Economou
Green's Functions in Quantum Physics 
MajlisThe Quantum Theory of Magnetism

Haken / WolfThe Physics of Atoms and Quanta
The lecture script and videos are available on Moodle.
If you find errors in the script, please report them to me. The script will be updated regularly, but don't expect major changes. The script is quite extensive, and explicitly goes through the calculation of several examples. I will discuss in the lecture where to focus on.
You can find videos of the lecture content on youtube
Material discussed
18.10.2021  22.10.2021 
Chapter 1 and 2 plus appendix A of the script. Chapter 1 + appendix A: Introduction and repetition of Quantum mechanics and second quantisation. The Hamiltonian of interest for condensed matter systems. Complexity of many electron system and emergent behaviour. Chapter 2: Drude model, Scattering length, Ohms law and Specific Heat 
25.10.202129.10.2021  Chapter 3 of the script. Sommerfeld model, Fermi surface, bandstructure or energy momentum dispersion and density of states. Solution to the specific heat problem in the Drude model. Scattering time and the probelm of near scattering length: Why do atomic nuclei in a periodic lattice appearently not scatter electrons ? 
1.11.2021  5.11.2021  Chapter 4 (and appendix B) of the script. Periodic potentials, Bloch states, Bloch's theorm, crystal momentum. (Real and reciprocal lattice vectors)  I assume this chapter is a repetition of lectures you heard before 
8.11.2021  12.11.2021  Chapter 5 of the script. Meanfield methods. A short overview of different meanfield theories used to obtain effective potentials from interacting Hamiltonians 
15.11.2021  19.11.2021  Chapter 6 of the script. Tight binding theory. Dual nature of Tight binding model and free electron model. Sign of hopping integrals, angular dependence of hopping integrals. Tight binding description of free electron bands. 
22.11.2021  26.11.2021  Chapter 6 and 7 of the script. Wannier functions, band character and partial density of states + Definitions of Green's functions frequency and time doman and relation to bandstructure. 
29.11.2021  3.12.2021  Chapter 7 of the script. Green's functions. Impurity scattering  Become fluent in working with Green's functions. 
6.12.2021  10.12.2021  Finish chapter 7. Videos 7.7 to 7.12 (https://www.youtube.com/playlist?list=PLhOEg5oWOoSXlUI4Lk6PtFpAjoPTxW2wQ) Meeting for questions  Friday via Zoom 
13.12.2021  17.12.2021  Chapter 8 of the script. Self energy due to disorder. Video 8.1 https://www.youtube.com/playlist?list=PLhOEg5oWOoSVnmQz5Ue6N_3_dIXySd1 Meeting on Friday via Zoom 
20.12.2021  24.12.2021  Only tutorials 
10.01.2022  15.01.2022  Chapter 9 of the script, Surface states 
17.01.2022  22.01.2022  Chapter 10 of the script, Relativisitc effect. (Single lecture, no part of the exam). Chapter 11 of the script, Phase transitions. 
24.01.2022  29.01.2022  Chapter 11  Topological states and surface states  Chapter 12  Response theory 
31.01.2022  04.02.2022  Chapter 12  Response theory 
Exercise sheets
 sheet 01
 sheet 02
 sheet 03
 sheet 04
 sheet 05
 sheet 06
 sheet 07
 sheet 08
 sheet 09
 sheet 10
For questions outside the lecture period you can find us on Rocket Chat: https://uebungen.physik.uniheidelberg.de/chat
 Monday, from 9:15 to 11:00 tutorials in Philos.weg 19 / SR.
 Wednesday from 9:15 to 11:00 lecture in Philos.weg 19 / SR.
 Friday from 9:15 to 11:00 lecture INF 227 / HS 2.
 First lecture on Monday the 18th of October
 No lecture on Wednesday the 20th of October
 First homework due on Friday the 5th of November, discussed on Monday the 8th of November