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

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

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	Physics of Light-Matter in Nanostructures - Havana, Cuba Duration: 1 Jan 2007 → … Conference number: 7

Conference

Conference	Physics of Light-Matter in Nanostructures
Number	7
City	Havana, Cuba
Period	01/01/2007 → …

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10.1016/j.spmi.2007.06.020

Cite this

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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.",

author = "Jens Gravesen and Morten Willatzen",

year = "2008",

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language = "English",

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AU - Willatzen, Morten

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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

VL - 43

SP - 441

EP - 444

JO - Superlattices and Microstructures

JF - Superlattices and Microstructures

SN - 0749-6036

IS - 5-6

T2 - Physics of Light-Matter in Nanostructures

Y2 - 1 January 2007

ER -

Electron states in curved quantum structures with varying radius

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