Condensed Matter Theory
Lecture contents
Condensed Matter Theory I:
The complexity of 1023 particles interacting with each other in a solid give rise to many emergent phenomena one would not predict from the simple interactions between two electrons. In this lecture we will, starting from simple models and theories work our way into the contemporary theory of many particle physics.
The lecture follows for a large part the textbook of Ashcroft and Mermin, with one big difference. The formentioned textbook is based on a text over 50 years old. During the last decades new methods have emerged, often removing the need to know the full wavefunction of the system to answer the problem, by using Green's functions. Whenever possible the later will be used within this lecture.
Concepts of many particle systems discused are:
 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
Theoretical / Mathematical tools used will be
 Second quantization
 Green's functions (on an independent particle level)
 Self energy (for surface states and disorder)
Levels of theory discussed will be
 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 lecturenotes will be made available as the lecture progressess, they however should not be your only source of information.
Exercise sheets
 sheet 01
 sheet 02
 sheet 03
 sheet 04
 sheet 05
 sheet 06
 sheet 07
 sheet 08
 sheet 09
 sheet 10
Practice groups
 Group 01 (Erik Weerda)
42 participants
zoom, Mon 09:15  11:00