Quantum limits to the electron field emission from tapered conductive sheets

Filip, Marina Rucsandra; Antohe, Ştefan; Ion, Lucian; Tanemura, Masaki

doi:doi:10.1116/1.3318800

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Journal of Vacuum Science & Technology B / Volume 28 / Issue 2 / PAPERS FROM THE 22nd INTERNATIONAL VACUUM NANOELECTRONICS CONFERENCE / Fundamental

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J. Vac. Sci. Technol. B 28, C2A64 (2010); http://dx.doi.org/10.1116/1.3318800 (8 pages)

Quantum limits to the electron field emission from tapered conductive sheets

Marina Rucsandra Filip¹, Ştefan Antohe¹, Lucian Ion¹, and Masaki Tanemura²

¹Faculty of Physics, University of Bucharest, P.O. Box MG-11, Bucharest-Magurele 077125, Romania
²Graduate School of Engineering, Nagoya Institute of Technology, Gosiko-cho, Showa-ku, Nagoya 466-8555, Japan

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(Published online 1 April 2010)

Abstract

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A model has been constructed in order to study the effects of quantum confinement on the electron population on tapered conductive sheets. A two-dimensional rounded nanocone was considered for this study and the Schrödinger equation was solved analytically on the entire system. The average number of electrons on the tip region was shown to be strongly influenced by the geometrical parameters of the system, such as the tip and base radius and the overall length. Field emission from such structures was also investigated using a simple one-dimensional Wentzel–Kramers–Brillouin approximation. The limitations on the electron population imposed by the strong quantum confinement at the tip region will have important consequences on the field emission current obtained from these structures.

Article Outline

INTRODUCTION
MODEL DESCRIPTION
RESULTS AND DISCUSSIONS
CONCLUSIONS

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KEYWORDS and PACS

Keywords

electron field emission, Schrodinger equation, WKB calculations

PACS

79.70.+q

Field emission, ionization, evaporation, and desorption
71.15.-m

Methods of electronic structure calculations
03.65.Ge

Solutions of wave equations: bound states

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History

Received 18 September 2009
Accepted 19 January 2010
Published online 1 April 2010

Digital Object Identifier

http://dx.doi.org/10.1116/1.3318800

PUBLICATION DATA

ISSN

1071-1023 (print)

1520-8567 (online)

Publisher

American Vacuum Society

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