Calculation of the Potential Distribution around an Impurity-Atom-Wire--The Validity of the Thomas-Fermi Approximation--

Tomonori SEKIGUCHI  Kazuhito FURUYA  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E76-C   No.12   pp.1842-1846
Publication Date: 1993/12/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Semiconductor Materials and Devices
Keyword: 
impurity-atom-wire,  quantum wire,  nanometer structure,  screening effect,  electron wave,  

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Summary: 
The potential distribution around a linear array of donor atoms in a semiconductor crystal is calculated, approximating the linear array by a continuous line charge. Two methods are used for the analysis. One is the self-consistent calculation of Poisson's equation and the effective mass Schrödinger's equation, and the other is the Thomas-Fermi approximation. Results of both methods agree very well, and it is shown that it is possible to form a potential distribution as fine as the electron wavelength by appropriate arrangement of the impurity atoms. Arrays of impurity atoms therefore can act as buiding elements for future electron wave devices.