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

Fingerprint

Hamiltonians
Heterojunctions
Conduction bands
conduction bands
envelopes
approximation

Keywords

  • Heterostructures
  • Multiband Hamiltonian
  • Spurious states

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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

Spurious states free solutions of k·p Hamiltonian for heterostructures. / Kolokolov, K. I.; Li, J.; Ning, Cun-Zheng.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / M. Osinski; H. Amano; P. Blood. Vol. 4986 2003. p. 265-272.

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

Kolokolov, KI, 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, PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI, San Jose, CA, United States, 1/27/03. https://doi.org/10.1117/12.480222
Kolokolov KI, Li J, Ning C-Z. Spurious states free solutions of k·p Hamiltonian for heterostructures. In Osinski M, Amano H, Blood P, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 4986. 2003. p. 265-272 https://doi.org/10.1117/12.480222
Kolokolov, K. I. ; Li, J. ; Ning, Cun-Zheng. / Spurious states free solutions of k·p Hamiltonian for heterostructures. Proceedings of SPIE - The International Society for Optical Engineering. editor / M. Osinski ; H. Amano ; P. Blood. Vol. 4986 2003. pp. 265-272
@inproceedings{38dfb3d9b4374775817eb38660fe3943,
title = "Spurious states free solutions of k·p Hamiltonian for heterostructures",
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.",
keywords = "Heterostructures, Multiband Hamiltonian, Spurious states",
author = "Kolokolov, {K. I.} and J. Li and Cun-Zheng Ning",
year = "2003",
doi = "10.1117/12.480222",
language = "English (US)",
volume = "4986",
pages = "265--272",
editor = "M. Osinski and H. Amano and P. Blood",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

}

TY - GEN

T1 - Spurious states free solutions of k·p Hamiltonian for heterostructures

AU - Kolokolov, K. I.

AU - Li, J.

AU - Ning, Cun-Zheng

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

KW - Heterostructures

KW - Multiband Hamiltonian

KW - Spurious states

UR - http://www.scopus.com/inward/record.url?scp=0242693131&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242693131&partnerID=8YFLogxK

U2 - 10.1117/12.480222

DO - 10.1117/12.480222

M3 - Conference contribution

AN - SCOPUS:0242693131

VL - 4986

SP - 265

EP - 272

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Osinski, M.

A2 - Amano, H.

A2 - Blood, P.

ER -