Spurious states free solutions of k·p Hamiltonian for heterostructures

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

doi:10.1117/12.480222

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 proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Editors	M. Osinski, H. Amano, P. Blood
Pages	265-272
Number of pages	8
Volume	4986
DOIs	https://doi.org/10.1117/12.480222
State	Published - 2003
Externally published	Yes
Event	PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI - San Jose, CA, United States Duration: Jan 27 2003 → Jan 31 2003

Conference

Conference	PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI
Country/Territory	United States
City	San Jose, CA
Period	1/27/03 → 1/31/03

Keywords

Heterostructures
Multiband Hamiltonian
Spurious states

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

Access to Document

10.1117/12.480222

Cite this

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

@inproceedings{b3e9202e19044060ba101dd4100c5883,

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",

note = "PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI ; Conference date: 27-01-2003 Through 31-01-2003",

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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 - https://www.scopus.com/pages/publications/0242693131

UR - https://www.scopus.com/pages/publications/0242693131#tab=citedBy

U2 - 10.1117/12.480222

DO - 10.1117/12.480222

M3 - Conference contribution

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.

T2 - PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI

Y2 - 27 January 2003 through 31 January 2003

ER -

Spurious states free solutions of k·p Hamiltonian for heterostructures

Abstract

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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