h1

TY  - THES
AU  - Caltapanides, Mara
TI  - Electronic transport through systems of quantum dots coupled to a bosonic mode
PB  - RWTH Aachen University
VL  - Dissertation
CY  - Aachen
M1  - RWTH-2025-00606
SP  - 1 Online-Ressource : Illustrationen
PY  - 2024
N1  - Veröffentlicht auf dem Publikationsserver der RWTH Aachen University 2025
N1  - Dissertation, RWTH Aachen University, 2024
AB  - 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
LB  - PUB:(DE-HGF)11
DO  - DOI:10.18154/RWTH-2025-00606
UR  - https://publications.rwth-aachen.de/record/1002649
ER  -