Electron states in curved quantum structures with varying radius

Jens Gravesen; Morten Willatzen

doi:10.1016/j.spmi.2007.06.020

Electron states in curved quantum structures with varying radius

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Abstract

The influence of size and shape is investigated for quantum-dot electronic states and intra-band oscillator strengths adapting a method originally due to Stevenson. The present work solves the one-band envelope-function problem for conduction-band eigenstates in the framework of k⋅p theory using general curved coordinates. The eigenstates found are subsequently employed to express intra-band oscillator strengths and emphasis is given to the dependence of oscillator strengths on quantum-dot size and shape. We finally provide four simple examples.

Original language	English
Journal	Superlattices and Microstructures
Volume	43
Issue number	5-6
Pages (from-to)	441-444
ISSN	0749-6036
DOIs	https://doi.org/10.1016/j.spmi.2007.06.020
Publication status	Published - 2008
Event	7th International Conference on Physics of Ligh-Matter Coupling in Nanostructures - Havana, Cuba Duration: 12 Apr 2007 → 17 Apr 2007 Conference number: 7

Conference

Conference	7th International Conference on Physics of Ligh-Matter Coupling in Nanostructures
Number	7
Country/Territory	Cuba
City	Havana
Period	12/04/2007 → 17/04/2007

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10.1016/j.spmi.2007.06.020

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title = "Electron states in curved quantum structures with varying radius",

abstract = "The influence of size and shape is investigated for quantum-dot electronic states and intra-band oscillator strengths adapting a method originally due to Stevenson. The present work solves the one-band envelope-function problem for conduction-band eigenstates in the framework of k⋅p theory using general curved coordinates. The eigenstates found are subsequently employed to express intra-band oscillator strengths and emphasis is given to the dependence of oscillator strengths on quantum-dot size and shape. We finally provide four simple examples.",

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AB - The influence of size and shape is investigated for quantum-dot electronic states and intra-band oscillator strengths adapting a method originally due to Stevenson. The present work solves the one-band envelope-function problem for conduction-band eigenstates in the framework of k⋅p theory using general curved coordinates. The eigenstates found are subsequently employed to express intra-band oscillator strengths and emphasis is given to the dependence of oscillator strengths on quantum-dot size and shape. We finally provide four simple examples.

U2 - 10.1016/j.spmi.2007.06.020

DO - 10.1016/j.spmi.2007.06.020

M3 - Conference article

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T2 - 7th International Conference on Physics of Ligh-Matter Coupling in Nanostructures

Y2 - 12 April 2007 through 17 April 2007

ER -

Electron states in curved quantum structures with varying radius

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