Research Papers

Fast and reliable approach to calculate energy levels in semiconductor nanostructures

[+] Author Affiliations
François Thierry, Judikaël Le Rouzo, Ludovic Escoubas

Aix-Marseille Université, Institut Matériaux Microélectronique Nanosciences de Provence-IM2NP, CNRS-UMR 7334, Domaine Universitaire de Saint-Jérôme, Service 231, 13397 Marseille, France

François Flory

Aix-Marseille Université, Institut Matériaux Microélectronique Nanosciences de Provence-IM2NP, CNRS-UMR 7334, Domaine Universitaire de Saint-Jérôme, Service 231, 13397 Marseille, France

Ecole Centrale Marseille, 38 rue Joliot Curie, 13451 Marseille, France

Gérard Berginc

THALES Optronique SA, 2 Avenue Gay Lussac, 78990 Elancourt, France

J. Nanophoton. 9(1), 093080 (Mar 06, 2015). doi:10.1117/1.JNP.9.093080
History: Received October 10, 2014; Accepted January 27, 2015
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Abstract.  We propose a method under the effective mass approximation with an original formulation that applies to quantum wells, circular quantum wires, and spherical quantum dots of arbitrary materials with sizes as small as 1 nm. Hundreds of structures are resolved on the second scale on a laptop, allowing for optimization procedures. We demonstrate its capability by confronting bandgap calculations with exhaustive literature data for CdS, CdSe, PbS, and PbSe nanoparticles. Our approach includes a correction of the mass to address the nonparabolicity of the band structure. The correction gives an accuracy comparable to more demanding calculation methods, such as eight-band k·p, tight-binding, or even semiempirical pseudopotential methods. The effect of the correction is shown on the intrasubband optical properties of InGaAs/AlGaAs coupled quantum wells.

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© 2015 Society of Photo-Optical Instrumentation Engineers

Citation

François Thierry ; Judikaël Le Rouzo ; François Flory ; Gérard Berginc and Ludovic Escoubas
"Fast and reliable approach to calculate energy levels in semiconductor nanostructures", J. Nanophoton. 9(1), 093080 (Mar 06, 2015). ; http://dx.doi.org/10.1117/1.JNP.9.093080


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