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 opto- electronic properties of self-assembled quantum dots.
Melnik, Roderick V.N.; Lassen, Benny; Yan Voon, L.C. Lew; Willatzen, Morten; and Galeriu, Calin, "Accounting for Nonlinearities in Mathematical Modelling of Quantum Dot Molecules" (2005). Mathematics Faculty Publications. 34.
This article was originally published in Discrete and Continuous Dynamical Systems, Supplement Volume 2005: 642-651.