Berlin 2005 – wissenschaftliches Programm

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HL: Halbleiterphysik

HL 17: Poster Ib

HL 17.21: Poster

Freitag, 4. März 2005, 16:30–19:00, Poster TU F

Anharmonic potentials for quantum dot atoms. — •Joseph Ambrose Pagaran and Stephan Fritzsche — Universität Kassel, Institut für Physik, D–34132 Kassel, Germany

Most model potentials that describe how electrons are confined in quantum dot atoms are based on harmonic potentials [1]. However, these model potentials are too simple and often lead to incorrect electronic structure of the system. As alternative model potentials, we propose a one-parameter family of anharmonic potentials following the work of Luban et al. [2] but generalized to three-dimensions. This family of potentials is obtained using the so-called intertwining method [3]. Because this family of potentials has a single parameter, which can be later fitted to the observed energy levels of the system, it may be more appropriate to describe the electron motion in realistic dots. In practice, realistic model potentials are usually derived using numerical methods.
S. Reimann and M. Manninen, Rev. Mod. Phys. 74 (2002) 1283.
M. Luban et.al., Appl. Phys. Lett. 54 (1989) 1997.
J.O. Rosas-Ortiz, J. Phys. A: Math. Gen 31 (1998) L507.