Electron conductance in curved quantum structures

Morten Willatzen; Jens Gravesen

doi:10.1016/j.spmi.2009.10.001

Electron conductance in curved quantum structures

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Abstract

A differential-geometry analysis is employed to investigate the transmission of electrons through a curved quantum-wire structure. Although the problem is a three-dimensional spatial problem, the Schrodinger equation can be separated into three general coordinates. Hence, the proposed method is computationally fast and provides direct (geometrical) parameter insight as regards the determination of the electron transmission coefficient. We present, as a case study, calculations of the electron conductivity of a helically shaped quantum-wire structure and discuss the influence of the quantum-wire centerline radius of curvature and pitch length for the conductivity versus the chemical potential.

Original language	English
Journal	Superlattices and Microstructures
Volume	47
Issue number	1
Pages (from-to)	202-206
ISSN	0749-6036
DOIs	https://doi.org/10.1016/j.spmi.2009.10.001
Publication status	Published - 2010

Keywords

Semiconductors
Differential geometry
Quantum wires

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10.1016/j.spmi.2009.10.001

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AB - A differential-geometry analysis is employed to investigate the transmission of electrons through a curved quantum-wire structure. Although the problem is a three-dimensional spatial problem, the Schrodinger equation can be separated into three general coordinates. Hence, the proposed method is computationally fast and provides direct (geometrical) parameter insight as regards the determination of the electron transmission coefficient. We present, as a case study, calculations of the electron conductivity of a helically shaped quantum-wire structure and discuss the influence of the quantum-wire centerline radius of curvature and pitch length for the conductivity versus the chemical potential.

KW - Semiconductors

KW - Differential geometry

KW - Quantum wires

U2 - 10.1016/j.spmi.2009.10.001

DO - 10.1016/j.spmi.2009.10.001

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JO - Superlattices and Microstructures

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Electron conductance in curved quantum structures

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