Modelling of quantum wells with smooth boundaries

Adam J. Zakrzewski 

Polish Academy of Sciences, Institute of Physics, al. Lotników 32/46, Warszawa 02-668, Poland

Abstract

In the past two decades properties of various low dimensional heterostructures received much theoretical and experimental attention. The nature of the shallow (hydrogenic) states in such systems and their modification due to external magnetic field was widely investigated. Such effects are routinely studied with variational method within effective mass theory.
In this communication we focus on the influence of the smoothness of quantum well boundaries on donor states. Confining potential is taken in the form of Wood-Saxon potential. Such form of potential allows us to include the finite slope of the potential across quantum well boundaries. We also investigate the effects related to differences in effective masses and dielectric constants between well and barrier material and the influence of external magnetic field.

This research was supported by grant no. 5 P03B 007 20 of KBN for 2001-2003 years

 

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Presentation: poster at E-MRS Fall Meeting 2003, Symposium A, by Adam J. Zakrzewski
See On-line Journal of E-MRS Fall Meeting 2003

Submitted: 2003-05-27 15:27
Revised:   2009-06-08 12:55