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2005, 2005(Special): 642-651. doi: 10.3934/proc.2005.2005.642

Accounting for nonlinearities in mathematical modelling of quantum dot molecules

Roderick Melnik 1, , B. Lassen 2, , L. C Lew Yan Voon 3, , M. Willatzen 2, and  C. Galeriu 4,

1. 

Mathematical Modelling and Computational Sciences, Wilfrid Laurier University, Waterloo, 75 University Avenue West, Waterloo, ON, Canada
2. 

Mads Clausen Institute, Syddansk University, Grundtvigs Alle 150, DK-6400 Sonderborg, Denmark, Denmark
3. 

Department of Physics, Wright State University, 3640 Colonel Glenn Highway, Dayton, OH 45305, United States
4. 

Department of Physics, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA 01609, United States

Received  September 2004 Revised  May 2005 Published  September 2005

Nonlinear mathematical models are becoming increasingly important for new applications of low-dimensional semiconductor structures. Examples of such structures include quasi-zero-dimensional quantum dots that have potential applications ranging from quantum computing to nano-biological devices. In this contribution, we analyze presently dominating linear models for bandstructure calculations and demonstrate why nonlinear models are required for characterizing adequately optoelectronic properties of self-assembled quantum dots.
Keywords: quantum dots, coupled PDEs, strain, modeling, bandstructures..
Mathematics Subject Classification: Primary: 35, 65, 8.
Citation: Roderick Melnik, B. Lassen, L. C Lew Yan Voon, M. Willatzen, C. Galeriu. Accounting for nonlinearities in mathematical modelling of quantum dot molecules. Conference Publications, 2005, 2005 (Special) : 642-651. doi: 10.3934/proc.2005.2005.642
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