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Efficient Numerical Schemes for Electronic States in Coupled Quantum Dots

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Abstract:

Electronic states in coupled quantum dots are studied numerically and qualitatively in this article. A second-order finite volume scheme based on uniform meshes is first developed to solve the three-dimensional Schrödinger equation. The scheme is used to solve the eigenvalue problem with more than 12million unknowns. Using these efficient numerical tools, we study quantum structure induced interactions, with emphases on the effects of dot size and space layer thickness. The numerical experiments have predicted the phenomena that envelope functions become delocalized over two QDs and the energy levels show anticrossing behavior.

Keywords: ANTICROSSING; COUPLED QUANTUM DOTS; DELOCALIZATION; ELECTRONIC STATES; FINITE VOLUME METHOD; NUMERICAL SIMULATION; SCHRODINGER EQUATION

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/jnn.2008.004

Publication date: July 1, 2008

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  • Journal for Nanoscience and Nanotechnology (JNN) is an international and multidisciplinary peer-reviewed journal with a wide-ranging coverage, consolidating research activities in all areas of nanoscience and nanotechnology into a single and unique reference source. JNN is the first cross-disciplinary journal to publish original full research articles, rapid communications of important new scientific and technological findings, timely state-of-the-art reviews with author's photo and short biography, and current research news encompassing the fundamental and applied research in all disciplines of science, engineering and medicine.
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