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

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 會議論文 › 同行評審

摘要

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.

原文	英語
頁（從 - 到）	908-911
頁數	4
期刊	Lecture Notes in Computer Science
卷	3516
發行號	III
DOIs	https://doi.org/10.1007/11428862_135
出版狀態	已發佈 - 2005
事件	5th International Conference on Computational Science - ICCS 2005 - Atlanta, GA, 美国持續時間: 2005 5月 22 → 2005 5月 25

ASJC Scopus subject areas

理論電腦科學
一般電腦科學

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10.1007/11428862_135

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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",

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

AU - Wang, Weichung

AU - Hwang, Tsung Min

PY - 2005

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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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UR - https://www.scopus.com/pages/publications/25144517234#tab=citedBy

U2 - 10.1007/11428862_135

DO - 10.1007/11428862_135

M3 - Conference article

AN - SCOPUS:25144517234

SN - 0302-9743

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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

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ER -

Numerical simulation of three-dimensional vertically aligned quantum dot array

摘要

ASJC Scopus subject areas

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