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@PHDTHESIS{Karrasch:63199,
author = {Karrasch, Christoph},
othercontributors = {Meden, Volker},
title = {{T}he functional renormalization group for zero-dimensional
quantum systems in and out of equilibrium},
address = {Aachen},
publisher = {Publikationsserver der RWTH Aachen University},
reportid = {RWTH-CONV-124646},
pages = {219 S. : Ill., graph. Darst.},
year = {2010},
note = {Aachen, Techn. Hochsch., Diss., 2010},
abstract = {We study transport properties of quantum impurity systems
using the functional renormalization group. The latter is an
RG-based diagrammatic tool to treat Coulomb interactions in
a fast and flexible way. Prior applications, which employed
a simple first-order (Hartree-Fock-like) scheme to truncate
the FRG flow equations within the Matsubara formalism,
succeeded in accurately describing linear transport of
various quantum dot geometries at zero temperature T=0. In a
nutshell, advance in this Thesis is three-fold. First, we
introduce a frequency-dependent second-order approximation
in order to eventually compute finite-energy properties such
as the conductance at T>0 (mainly focusing on the single
impurity Anderson model). Second, a generalisation of the
Hartree-Fock-like approach to Keldysh space allows for
addressing the non-equilibrium steady-state dynamics of the
interacting resonant level model. Third, we investigate the
physics of a quantum dot Josephson junction as well as the
charging of a single narrow level using the first-order
scheme.},
keywords = {Renormierungsgruppe (SWD) / Quantenpunkt (SWD) /
Nichtgleichgewicht (SWD)},
cin = {130000 / 135820},
ddc = {530},
cid = {$I:(DE-82)130000_20140620$ / $I:(DE-82)135820_20140620$},
typ = {PUB:(DE-HGF)11},
urn = {urn:nbn:de:hbz:82-opus-33468},
url = {https://publications.rwth-aachen.de/record/63199},
}