A numerically efficient approach to the modelling of double-Qdot channels

A. Shamloo; A.P. Sowa

Nanoscale Systems: Mathematical Modeling, Theory and Applications (2013)

  • Volume: 2, page 145-156
  • ISSN: 2299-3290

Abstract

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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.

How to cite

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A. Shamloo, and A.P. Sowa. "A numerically efficient approach to the modelling of double-Qdot channels." Nanoscale Systems: Mathematical Modeling, Theory and Applications 2 (2013): 145-156. <http://eudml.org/doc/266806>.

@article{A2013,
abstract = {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.},
author = {A. Shamloo, A.P. Sowa},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
keywords = {Qdot; double-Qdot channel; composite quantum system; nanoelectronics},
language = {eng},
pages = {145-156},
title = {A numerically efficient approach to the modelling of double-Qdot channels},
url = {http://eudml.org/doc/266806},
volume = {2},
year = {2013},
}

TY - JOUR
AU - A. Shamloo
AU - A.P. Sowa
TI - A numerically efficient approach to the modelling of double-Qdot channels
JO - Nanoscale Systems: Mathematical Modeling, Theory and Applications
PY - 2013
VL - 2
SP - 145
EP - 156
AB - 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.
LA - eng
KW - Qdot; double-Qdot channel; composite quantum system; nanoelectronics
UR - http://eudml.org/doc/266806
ER -

References

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