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

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Shamloo A., Sowa A. P.
Nanoscale Systems: Mathematical Modeling, Theory and Applications
|
2013
|
tom 2
145-156
EN
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.
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Signals generated in memristive circuits

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Sowa A.
Nanoscale Systems: Mathematical Modeling, Theory and Applications
|
2012
|
tom 1
48-57
EN
Signals generated in circuits that include nano-structured elements typically have strongly distinct characteristics, particularly the hysteretic distortion. This is due to memristance, which is one of the key electronic properties of nanostructured materials. In this article, we consider signals generated from a memrsitive circuit model. We demonstrate numerically that such signals can be efficiently represented in certain custom-designed nonorthogonal bases. The proposed method ensures that the actual numerical representation can be implemented as a fast, O(N logN), algorithm. In addition, we discuss the possibility of modelling the hysteretic distortion via fast numerical transforms.
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