"Quantum impurity models in condensed matter physics"

 every Friday, Seminar room Philosophenweg 19, 11:15-13:00 

Contents

April 14-29

§1 Introduction
What are quantum impurities and their classification from
quantum point contacts to multi-channel Kondo model

§2 The non-equlibrium diagram technique
Introduction to the basic methods with simple application to the
resonant level model

May 6

Green's functions from functional integrals

§3 Quantum point contact (
QPC) and two-terminal resonant level model

May 13

Current-voltage relation of a QPC via diagrams and functional integration
Full counting statistics of a QPC

May 20 - May 27

Two-terminal resonant level model: GFs and FCS

§ 4 Anderson impurity model (AIM)

Formulation and general considerations


June 3

Perturbation theory in interaction for the AIM

June 10

2nd order self-energy for the AIM

June 17

FCS of the AIM via perturbation theory

June 24

Fermi liquid theory for the AIM
   Equlibrium case

July 1

   Non-equilibrium case

July 8 

 
AIM in the regime of very strong interaction
  atomic limit

July 15

  Infinite-U case via slave bosons and non-crossing approximation 


Literature (for the first 2-3 lectures)

[1] G.Mahan, Many-particle physics, Plenum Press, 1991
[2] H.Bruus, K.Flensberg, Many-body quantum theory in condensed matter physics, Oxford 2004
[3] J.Rammer, Quantum field theory of non-equilibrium states, Cambridge 2007




Exercises take place in the same room after the lecture!

 Exercise sheet 1 (April 29)

 Exercise sheet 2 (May 6)

 Exercise sheet 3 (May 13)

 Exercise sheet 4 (May 20) 

 Exercise sheet 5 (May 27)   

 Exercise sheet 6 (June 3)

 Exercise sheet 7 (June 10)

 Exercise sheet 8 (June 17)

 Exercise sheet 9 (June 24)

 Exercise sheet 10 (July 1)