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@PHDTHESIS{Caltapanides:1002649,
author = {Caltapanides, Mara},
othercontributors = {Meden, Volker and Kennes, Dante Marvin},
title = {{E}lectronic transport through systems of quantum dots
coupled to a bosonic mode},
school = {RWTH Aachen University},
type = {Dissertation},
address = {Aachen},
publisher = {RWTH Aachen University},
reportid = {RWTH-2025-00606},
pages = {1 Online-Ressource : Illustrationen},
year = {2024},
note = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
University 2025; Dissertation, RWTH Aachen University, 2024},
abstract = {In this thesis, we study the electronic properties of a
system of spin-polarized quantum dots coupled to a single
mode of a resonator. More specifically, we focus on an open
quantum dot system coupled to two leads in both equilibrium
and non-equilibrium setups. Our primary method for treating
the fermion-boson interaction is the lowest-order
perturbation theory. Additionally, we utilize the Lindblad
master equation method, exact diagonalization, and the
functional renormalization group method in a first-order
truncation scheme to complement our analysis. We consider
two different types of coupling to the resonator. First, we
analyze a linear chain of dots coupled to the light field of
a microcavity. We extend the widely used Peierls
substitution in Coulomb gauge, which is usually applied on
homogenous lattices, to systems where light couples to only
a finite part of the lattice. Subsequently, we investigate
the effects of considering only the lowest order in the
vector potential of the exponential function containing the
Peierls phase. We further extend the formalism to include
second-order contributions at the mean-field level when
utilizing lowest-order perturbation theory. This formalism
is then used to study interference effects in the linear
conductance of a quantum dot chain consisting of three dots,
as well as boson-assisted tunneling in non-equilibrium
systems with a finite voltage bias applied across a double
quantum dot setup. Additionally, we study the light-matter
coupling in the dipole gauge, focusing again on systems
where light couples only to a finite section of the lattice.
As the second model, we explore the coupling to the
vibrational degrees of freedom of the quantum dot system,
which is analogous to an},
cin = {135820 / 130000},
ddc = {530},
cid = {$I:(DE-82)135820_20140620$ / $I:(DE-82)130000_20140620$},
pnm = {GRK 1995 - GRK 1995: Quantenmechanische
Vielteilchenmethoden in der kondensierten Materie
(240766775)},
pid = {G:(GEPRIS)240766775},
typ = {PUB:(DE-HGF)11},
doi = {10.18154/RWTH-2025-00606},
url = {https://publications.rwth-aachen.de/record/1002649},
}
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