Department > Lectures > Summer Term 2018 > Condensed Matter Theory 2

Condensed Matter Theory 2

summer term 2018
Lecturer: Haverkort
Link to LSF
5 participants

Lecture contents

Introduction to solid state physics II. The complexity of 10²³ particles interacting with each other in a solid gives 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 theores work our way into the contemporary theory of many particle physics.

Where Condensed Matter Theory I (in the winter semester) focused on theories based on indepdendent electrons this lecture will focus on theories treating the electron Coulomb interaction explicitly.

Concepts of many particle systems discused are:

Computational complexity
Hubbard model
Mott Hubbard and charge transfer insulators
Resoponse functions
Quasi particles
Kondo excitations
Heavy fermion metals
Relativistic corrections - spin-orbit coupling

Theoretical / Mathematical tools used will be

Second quantization
Exact diagonalization
Green's functions
Self energy

Levels of theory discussed will be

Crystal field theory
Ligand field theory
Anderson impurity model
Mean field theory (Hartree-Fock and Density functional theory within the local density approximation)
Dynamical mean field theory
Diagramatic expansions