Accounting for nonlinearities in mathematical modelling of quantum dot molecules
Melnik, R.V.N., Lassen, B., Lew Yan Voon, L.C., Willatzen, M., Galeriu, C.
Dynamical Systems and Differential Equations, Supplement Volume 2005, ISSN1078-0947, 642--651 (based on the AIMS 5th DSDE, Eds. S. Hu, X. Lu. and W. Xie)
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 bandstructrure calculations and demonstrate why nonlinear models are required for characterizing adequately optoelectronic properties of self-assembled quantum dots.