Methods of QFT in Condensed Matter Physics
TMP-TA4, WiSe-2012/13 - Bibliography
Lecturer: Dr. Oleg Yevtushenko, Tutor: Dennis Schimmel
Main reading:
· A. Altland and B.D. Simons, “Condensed matter field theory”
(Cambridge University Press).
· A.M. Tsvelik, “Quantum field theory in condensed matter physics”
(2nd ed., Cambridge University Press).
· Xiao-Gang Wen,
“Quantum field theory of many-body systems” (Oxford University Press).
Additional reading:
· A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinski, “Methods of quantum field theory in
statistical physics”.
Reading for selected topics:
·
Luttinger Liquid and bosonization
o
T.
Giamarchi, “Quantum physics in one dimension”.
o
A.O.
Gogolin, A.A. Nersesyan and
A.M. Tsvelik, “Bosonization
and strongly correlated systems”.
o
D.L.
Maslov, “Fundamental aspects of electron correlations
and quantum transport in 1d systems”, arXiv:cond-mat/0506035.
o
J.
von Delft, H. Schoeller, “Bosonization
for Beginners - Refermionization for Experts”, Annalen Phys. 7
(1998) 225-305.
o
I.
Yurkevich, “Bosonisation as
the Hubbard-Stratonovich Transformation”, arXiv:cond-mat/0112270.
· SuSy FT for disordered systems, nonlinear σ-model
o
K.B.
Efetov, “Supersymmetry in
disorder and chaos”.
o
A.D.
Mirlin, “Statistics of energy levels and eigenfunctions in disordered and chaotic systems: Supersymmetry approach”, arXiv:cond-mat/0006421.
o
A.D.
Mirlin, “Statistics of energy levels and eigenfunctions in disordered systems”, Phys. Rep. 326 (2000) 259.
o
F.
Haake, “Quantum signatures of chaos”.
o
V.E.
Kravtsov, “Random matrix theory: Wigner-Dyson
statistics and beyond [Lecture notes of a course given at SISSA (Trieste,
Italy)]”, arXiv:0911.0639.
· FT for nonequilibrium
systems
o
A.
Kamenev, “Field theory of non-equilibrium systems”.
o
J. Rammer, “Quantum Field Theory of
Non-equilibrium States”.
o
A. Kamenev and A. Levchenko,
“Keldysh technique and non-linear sigma-model: basic
principles and applications”, Advances in Physics 58 (2009), 197.
o
J. Rammer and H. Smith, “Quantum
field-theoretical methods in transport theory of metals”, Rev. Mod. Phys. 58, 323–359 (1986).
o
Course of theoretical physics by L.D.
Landau and E. M. Lifshitz, volume 10: “Physical
kinetics” / by E. M. Lifshitz and L. P. Pitaevskii.
Last update: 11.01.2013