We consider the electronic properties of a system consisting of two quantum dots in physical proximity, which we will refer to as the double-Qdot. Double-Qdots are attractive in light of their potential application to spin-based quantum computing and other electronic applications, e.g. as specialized sensors. Our main goal is to derive the essential properties of the double-Qdot from a model that is rigorous yet numerically tractable, and largely circumvents the complexities of an ab initio simulation. To this end we propose a novel Hamiltonian that captures the dynamics of a bi-partite quantum system, wherein the interaction is described via a Wiener-Hopf type operator. We subsequently describe the density of states function and derive the electronic properties of the underlying system. The analysis seems to capture a plethora of electronic profiles, and reveals the versatility of the proposed framework for double-Qdot channel modelling.
@article{bwmeta1.element.doi-10_2478_nsmmt-2013-0009,
author = {A. Shamloo and A.P. Sowa},
title = {A numerically efficient approach to the modelling of double-Qdot channels},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
volume = {2},
year = {2013},
pages = {145-156},
zbl = {1273.81095},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_nsmmt-2013-0009}
}
A. Shamloo; A.P. Sowa. A numerically efficient approach to the modelling of double-Qdot channels. Nanoscale Systems: Mathematical Modeling, Theory and Applications, Tome 2 (2013) pp. 145-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_nsmmt-2013-0009/
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