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2013 | 2 | 145-156
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A numerically efficient approach to the modelling of double-Qdot channels

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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.
  • IDepartment of Mathematics and Statistics,
    University of Saskatchewan
    106 Wiggins Road, Saskatoon, SK S7N 5E6, Canada
  • IDepartment of Mathematics and Statistics,
    University of Saskatchewan
    106 Wiggins Road, Saskatoon, SK S7N 5E6, Canada
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