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Proceedings Paper

Spurious states free solutions of the k·p Hamiltonian for heterostructures
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Paper Abstract

We developed a method to eliminate the spurious solutions of the k•p Hamiltonian in the envelope function approximation applied to the quantized states of heterostructures by introducing an off-diagonal k2 term. This results in a modification in the fourth and higher order terms in k of the band dispersion, which keeps the dispersion at the Γ point but modifies it at large k so that converts spurious states to the harmless evanescent ones. We show that the modification to the Hamiltonian leads to the monotonic behavior of the conduction band as a function of k and thus removes the spurious solutions in the calculations of confined states for all popular III-V compounds and their alloys.

Paper Details

Date Published: 25 July 2003
PDF: 8 pages
Proc. SPIE 4986, Physics and Simulation of Optoelectronic Devices XI, (25 July 2003); doi: 10.1117/12.480222
Show Author Affiliations
Konstantin I. Kolokolov, NASA Ames Research Ctr. (United States)
Jianzhong Li, NASA Ames Research Ctr. (United States)
Cun-Zheng Ning, NASA Ames Research Ctr. (United States)

Published in SPIE Proceedings Vol. 4986:
Physics and Simulation of Optoelectronic Devices XI
Marek Osinski; Hiroshi Amano; Peter Blood, Editor(s)

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