Document Type

Article

Publication Date

2005

Department

Mathematics

Abstract

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.

Comments

This article was originally published in Discrete and Continuous Dynamical Systems, Supplement Volume 2005: 642-651.

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