Topics in Quantum transport theory




The final essays of the study group: Topics in Quantum transport theory

Aim: Ph.D. Course/study group in condensed matter physics with an emphasis on Quantum transport theory.

Organizer: Mathias Lunde (Karsten Flensberg).
E-mail: lunan (at) fys.ku.dk
Phone: (+45) 353 20 385

ECTS Credits: 10 (4 punkter)

When: In the fall 2004 and spring 2005 (start: 7. September 2004). Tuesday from 14.15-17.

Place:
HC and MIC. Also participant dependent.

Course description:
Every participant chooses a subject, which the person will go though at the black board (i.e. not (to much) power point) and be in charge of. This will take about 2 to 3 times depending of the participants number. One should not know anything about the subject chosen in order to keep the specified level and in order to learn something new. The idea of the course is to try to understand the basic content of the subject chosen, such as the basic mechanisms (basic physics), models and equations (formalism). It is meant to be a discussion, so the person in charge chooses some material (articles and/or chapters from book(s)), which all the other participants read. The four hours could (or maybe should) also contain some exercises. The senior staff are not suppose to give lectures,only to supervise.

Subjects covered:
1. Kondo effect with emphasis on poor mans scaling (A. Mathias Lunde).
2. Dynamical mean field theory (Dan Bohr).
1. Quantum hall effect (Thomas Frederiksen).
4. Density functional theory (Mikkel Strange).
5. Quantum monte carlo simulations (Christian Flindt).

Course plan

Date

Place

Topic (and references)

In charge

7. September HC, D310 The Kondo problem in mesoscopic transport. What is that? Chapter 10, p.169-183 in Bruus and Flensbergs book, Mathias
14. September HC, D310 Calculation of the conductance to second order (Chapter 10, p.174-183 in Bruus and Flensbergs). Poor mans scaling of the Kondo problem. (Article: Anderson J. Phys. C (1970)). Mathias
21. September HC, D310 Scaling in the Kondo problem. Mathias
28. September MIC, room 114 Time changed to 15.00
Dynamical mean field theory:
(1) Intro to DMFT (chap. 1+2 in A. Georges et.al.)
(2) The DMFT equations (chap. 3 in A. Georges et.al.)Rev. Mod. Phys. 68, 13 (1996),
Dan
4. October MIC, room 114 Note changed day: Monday from 9.00-13.00
Dynamical mean field theory.
Additional material: Fun Simulation and PhD-thesis on DMFT.
Dan
12. October home Holiday -
19. October MIC, room 114 Time changed to 15.00-18
Dynamical mean field theory.
Dan
26. October MIC, room 114 Time changed to 14.30-18
Quantum hall effect:
(1) Chap 2. of D. Yoshioka "Quantum Hall Effect", Springer (2002)
(2) K. v. Klitzing, G. Dorda and M. Pepper, Phys. Rev. Lett. 45, 494 (1980)
(3) Cursory: K. v. Klitzing nobel lecture (pdf).
Thomas
2. November - Cancelled due to Christians "summer school" in Italy. -
9. November - Cancelled due to Christians "summer school" in Italy. -
16. November MIC, room 114 Time changed to 15-19
Quantum Hall effect:
The rest of chap. 2 and chap. 3 in D. Yoshioka "Quantum Hall Effect", Springer (2002)
Thomas
23. November MIC/DTU Time changed to 14.30-18
Quantum Hall Effect: :
Understanding chap. 2 and chap. 3 in D. Yoshioka and the note "the Story of e^2/h" by A.-P. Jauho.
Thomas
30. November MIC/DTU Time changed to 15.00-18.30
Density functional theory.
Mikkel
7. December - Cancelled due to sickness -
10. December Camp From 9-13
Density functional theory.
Mikkel
22. December Camp/DTU From 9-13
Density functional theory
Mikkel
1. January MIC/DTU From 9-13
Cancelled due to hangover
Quantum shuttles in the early universe.
-
25. January MIC/DTU From 15.00-19.00
Quantum Monte Carlo.
Material covered: Section II: Monte Carlo simulations for 'classical' spins"
Matlab program, which makes a Monte Carlo simulation of a spin chain, made by C. Flindt.
Material: Raimundo R. dos Santos, Braz. J. Phys. 33, 36 (2003), cond-mat/0303551
useful link?
Christian
1. February MIC/DTU From 15.00-19.00
Quantum monte carlo simulations.
Plan: Section III: "Determinantal quantum Monte Carlo: Preliminaries" and Appendix A+B in Raimundo R. dos Santos, Braz. J. Phys. 33, 36 (2003)
Christian
8. February MIC/DTU From 15.00-19.00
Quantum monte carlo simulations:
Material:
(1) Section IV: Determinantal quantum Monte Carlo: The Simulations (only first 1.5 pages)
(2) Section V: The minus-sign problem (cursorily)
Christian


Participants:
A. Mathias Lunde [email: lunan (at) fys.ku.dk]
Christian Flindt [email: cf (at) mic.dtu.dk]
Thomas Frederiksen [email: thf (at) mic.dtu.dk]
Dan Bohr [email: dab (at) mic.dtu.dk]
Mikkel Strange [email: s971493 (at) student.dtu.dk]


Supervisors/senior staff:
Karsten Flensberg [email: kf (at) fys.ku.dk]
Antti Pekka Jauho [email: antti (at) mic.dtu.dk]
Jens Paaske [email: paaske (at) fys.ku.dk]

Recommended qualifications: Some knowledge of many particle physics, e.g. Bruus and Flensbergs book: Many-body quantum theory in condensed matter

Evaluation:
Writing a small essay about the subject covered in the lectures, which one was responsible of. The essays will appear April 2005.

Updated March 2005