Numerical simulation of three-dimensional vertically aligned quantum dot array

Weichung Wang; Tsung Min Hwang

doi:10.1007/11428862_135

Numerical simulation of three-dimensional vertically aligned quantum dot array

Weichung Wang^*, Tsung Min Hwang

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Conference article › peer-review

Abstract

We study the electronic properties of quantum dot arrays formed by 2 to 12 vertically aligned quantum dots numerically. Numerical schemes in grid points choosing, finite differences, matrix reduction, and large-scale eigenvalue problem solver are discussed. The schemes allow us to compute all the desired energy states and the wave functions efficiently. Numerical experiment results are presented.

Original language	English
Pages (from-to)	908-911
Number of pages	4
Journal	Lecture Notes in Computer Science
Volume	3516
Issue number	III
DOIs	https://doi.org/10.1007/11428862_135
Publication status	Published - 2005
Event	5th International Conference on Computational Science - ICCS 2005 - Atlanta, GA, United States Duration: 2005 May 22 → 2005 May 25

Keywords

Energy levels
Numerical simulation
Semiconductor quantum dot array
The Schrödinger equation
Wave function

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

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10.1007/11428862_135

Cite this

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title = "Numerical simulation of three-dimensional vertically aligned quantum dot array",

abstract = "We study the electronic properties of quantum dot arrays formed by 2 to 12 vertically aligned quantum dots numerically. Numerical schemes in grid points choosing, finite differences, matrix reduction, and large-scale eigenvalue problem solver are discussed. The schemes allow us to compute all the desired energy states and the wave functions efficiently. Numerical experiment results are presented.",

keywords = "Energy levels, Numerical simulation, Semiconductor quantum dot array, The Schr{\"o}dinger equation, Wave function",

author = "Weichung Wang and Hwang, {Tsung Min}",

year = "2005",

doi = "10.1007/11428862_135",

language = "English",

volume = "3516",

pages = "908--911",

journal = "Lecture Notes in Computer Science",

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number = "III",

note = "5th International Conference on Computational Science - ICCS 2005 ; Conference date: 22-05-2005 Through 25-05-2005",

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T1 - Numerical simulation of three-dimensional vertically aligned quantum dot array

AU - Wang, Weichung

AU - Hwang, Tsung Min

PY - 2005

Y1 - 2005

N2 - We study the electronic properties of quantum dot arrays formed by 2 to 12 vertically aligned quantum dots numerically. Numerical schemes in grid points choosing, finite differences, matrix reduction, and large-scale eigenvalue problem solver are discussed. The schemes allow us to compute all the desired energy states and the wave functions efficiently. Numerical experiment results are presented.

AB - We study the electronic properties of quantum dot arrays formed by 2 to 12 vertically aligned quantum dots numerically. Numerical schemes in grid points choosing, finite differences, matrix reduction, and large-scale eigenvalue problem solver are discussed. The schemes allow us to compute all the desired energy states and the wave functions efficiently. Numerical experiment results are presented.

KW - Energy levels

KW - Numerical simulation

KW - Semiconductor quantum dot array

KW - The Schrödinger equation

KW - Wave function

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U2 - 10.1007/11428862_135

DO - 10.1007/11428862_135

M3 - Conference article

AN - SCOPUS:25144517234

SN - 0302-9743

VL - 3516

SP - 908

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JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

IS - III

T2 - 5th International Conference on Computational Science - ICCS 2005

Y2 - 22 May 2005 through 25 May 2005

ER -

Numerical simulation of three-dimensional vertically aligned quantum dot array

Abstract

Keywords

ASJC Scopus subject areas

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