Methods of QFT in Condensed Matter
Time and Location of Lectures:
Theresienstrasse 37.
NOTE: Time/venue of lectures can be changed!
Guest Lecturers:
Igor Yurkevich (University of Birmingham) - Lectures No.1-7
Kurt Schoenhammer (University of Goettingen) - Lectures No.8-12
Herbert Schoeller (Physikzentrum der RWTH Aachen) - Lectures No. 19-26
Local Coordinators and Lecturers:
Jan von Delft
Oleg Yevtushenko (Lectures No.13-18)
Outline of lectures 1-7
Path integral: classical stochastic problems, quantum mechanics in 1st quantization.
Gaussian integrals. Wick's theorem.
Quantum Field Theory: quantization of elastic string, path integral representation.
Second quantization. Fock space, statistics, coherent states. Functional integral representation for bosons an fermions.
One dimensional problems: chiral fermions and bosons.
Luttinger Liquid.
Lecture Notes
Lectures 1 and 2
Lectures 3 and 4
Lecture 5
Lectures 6 and 7
Topic of lectures 8-12: Introduction to the functional renormalization group
Lecture Notes
Introduction to fRG - Part I
Introduction to fRG - Part II
Topic of lectures 13-18: Introduction to the SuSy-FT for disordered systems
Lecturer: Oleg Yevtushenko
Schedule
March: 8, 13, 15, 20 - at 10:15, room A449
March: 21 (SuSy-5 & SuSy-6) - at 14:15, room A449
Lecture SuSy-1:
models of disordered systems;
Green's functions as functional integrals;
disorder averaging: ``the problem of denominator''.
Lecture SuSy-2:
the supersymmetry trick;
Grassmann variables, supervectors, supermatrices, superintegrals;
from a random non-interacting model to the deterministic one with effective interactions.
Lecture SuSy-3:
disorder averaged Green's functions;
disorder averaged DoS, ``semicircle''.
Lectures SuSy-4:
mean field solution;
self-energy of disorder averaged Green's functions.
Lectures SuSy-5,6:
disorder averaged correlation functions;
unitary vs. pseudounitary symmetry;
SuSy sigma-model;
0d case.
Recommended literature
K. Efetov, Supersymmetry in disorder and chaos (Cambridge University Press).
A.D. Mirlin, Statistics of energy levels and eigenfunctions in disordered
and chaotic systems: Supersymmetry approach (arXiv:cond-mat/0006421v1).
F. Haake, Quantum signatures of chaos (Springer series in synergetics, vol.54).
Topic of lectures 19-26: Nonequilibrium Kondo effect - crossover from weak to
strong coupling
Lecturer: Herbert Schoeller
Schedule
29.05.12 Tue. 14:15-16:00, Room 449: Nonequilibrium Kondo I
29.05.12 Tue. 16:15-18:00, Room B139: Nonequilibrium Kondo II
30.05.12 Wed. 08:15-10:00, Room 248: Nonequilibrium Kondo III
30.05.12 Wed. 16:15-18:00, Room 348-349: Nonequilibrium Kondo IV
31.05.12 Thu. 14:15-16:00, Room 449: Nonequilibrium Kondo V
01.06.12 Fr. 10:15-12:00, Room 249: Nonequilibrium Kondo VI
01.06.12 Fr. 12:15-14:00, Room 449: Nonequilibrium Kondo VII
01.06.12 Fr. 15:15-17:00, Room 449 Nonequilibrium Kondo VIII
follow this link to find more details about lectures on "Nonequilibrium Kondo"
Last Updated: 22.05.2012