Efficient Numerical Schemes for Electronic States in Coupled Quantum Dots
Resource
Journal of Nanoscience and Nanotechnology,8(9),3695-3709.
Journal
Journal of Nanoscience and Nanotechnology
Journal Volume
8
Journal Issue
9
Pages
3695-3709
Date Issued
2008-11
Date
2008-11
Author(s)
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 12 million 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.
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Type
journal article
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