"Quantum impurity models in condensed matter physics II"

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

Contents

October 14

§5 The Kondo (s-d exchange) model

5.1 s-d exchange model in equilibrium

October 21

5.2 Bosonization and renormalization group analysis
5.3 Kondo ground state and its effective description

October 28

5.4 Relation to the interacting resonant level model and Toulouse
      point solution

November 4

5.5 Two-channel Kondo model
  5.5.1 Toulouse point solution of the two-channel Kondo model
            channel-isotropic case

November 18

            channel-anisotropic case
5.6 Non-equilibrium transport through a Kondo impurity

November 25

5.6.1 Fermi liquid approach around the fixed point
relation of the Kondo FCS to the result for the AIM

December 2

5.6.2 Exact solution at the Toulouse point

December 9

5.7 Multi-channel Kondo models for k>2

December 16

5.8 SU(4) Kondo model

§6 Molecular quantum dot

January 13

6.1 Single-particle approximation

January 20

6.2 Born-Oppenheimer approximation
6.3. Perturbation theory in electron-phonon coupling

January 27

§ 7 Interacting resonant level model (IRLM)

7.1 IRLM and its relation to the Kondo model
7.2 Bethe Ansatz solution in the equilibrium

February 3

7.3 Orthogonality catastrophe and dynamical properties
of the IRLM

Final remarks


Coming next:




Literature

[1] A.C.Hewson, The Kondo problem to heavy fermions, Cambridge 1993
[2] A.O.Gogolin, A.A.Nersesyan, and A.M.Tsvelik, Bosonization and strongly
     correlated systems, Cambridge 1998



Exercises take place in the same room after the lecture!

 Exercise sheet 1 (October 21)
 Exercise sheet 2 (October 28)
 Exercise sheet 3 (November 4)
 Exercise sheet 4 (November 18)
 Exercise sheet 5 (November 25)
 Exercise sheet 6 (December 2)
 Exercise sheet 7 (December 9)
 Exercise sheet 8 (December 16)
 Exercise sheet 9 (January 13)
 Exercise sheet 10 (January 20)
 Exercise sheet 11 (January 27)