Ellipticity and spurious solutions in k⋅p calculations of III-nitride nanostructures

Author

Veprek, Ratko G. ; Steiger, Sebastian ; Witzigmann, Bernd

Author_Institution

Dept. of Electr. Eng., ETH Zurich, Zurich

fYear

2008

fDate

1-4 Sept. 2008

Firstpage

107

Lastpage

108

Abstract

We analyze the ellipticity of the standard kldrp Wurtzite model for the symmetrized and the Burt-Foreman operator ordering. We find that the symmetrized Hamiltonian is unstable, leads to different results and can cause spurious solutions. We show that the operator ordering in Wurtzite must be completely asymmetric to be stable. The asymmetric operator ordering is elliptic and therefore no spurious solutions are obtained.

Keywords

III-V semiconductors; aluminium compounds; gallium compounds; k.p calculations; mathematical operators; nanostructured materials; semiconductor quantum wells; semiconductor quantum wires; Burt-Foreman operator ordering; GaN-Al_0.25Ga_0.75N; GaN-Al_0.7Ga_0.3N; III-nitride nanostructure; Wurtzite model; asymmetric operator; ellipticity; kldrp calculations; quantum well; quantum wire; symmetrized Hamiltonian; Finite element methods; Gallium nitride; Laboratories; Nanostructures; Numerical models; Optoelectronic devices; Partial differential equations; Quantum dots; Wires; Workstations; finite element method; k·p; nanostructures; nitride; operator ordering; spurious solutions; wurtzite;

fLanguage

English

Publisher

ieee

Conference_Titel

Numerical Simulation of Optoelectronic Devices, 2008. NUSOD '08. International Conference on

Conference_Location

Nottingham

Print_ISBN

978-1-4244-2307-1

Type

conf

DOI

10.1109/NUSOD.2008.4668265

Filename

4668265