Spurious states free solutions of k·p Hamiltonian for heterostructures

K. I. Kolokolov, J. Li, Cun-Zheng Ning

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 k 2 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 F 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.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsM. Osinski, H. Amano, P. Blood
Pages265-272
Number of pages8
Volume4986
DOIs
StatePublished - 2003
Externally publishedYes
EventPROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI - San Jose, CA, United States
Duration: Jan 27 2003Jan 31 2003

Other

OtherPROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI
CountryUnited States
CitySan Jose, CA
Period1/27/031/31/03

Keywords

  • Heterostructures
  • Multiband Hamiltonian
  • Spurious states

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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  • Cite this

    Kolokolov, K. I., Li, J., & Ning, C-Z. (2003). Spurious states free solutions of k·p Hamiltonian for heterostructures. In M. Osinski, H. Amano, & P. Blood (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 4986, pp. 265-272) https://doi.org/10.1117/12.480222