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Interpolation between the ballistic and Boltzmann transport regimes for elastically scattered free electrons in a wire

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UNSPECIFIED (1998) Interpolation between the ballistic and Boltzmann transport regimes for elastically scattered free electrons in a wire. PHYSICAL REVIEW B, 58 (15). pp. 9639-9640. ISSN 0163-1829

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Abstract

A useful ansatz for the zero-temperature conductance of elastically scattered free electrons or! a Straight line is identified. The ansatz is generalized to apply tb a three-dimensional wire containing an N-dimensional electron gas of the length l with N=1,2, or 3. It determines all the macroscopic transport-coefficients of the wire at all temperatures and provides a formula for the average transmission coefficient of the one-dimensional modes involved in the Boltzmann regime: (T) over bar=g(N)epsilon(F)/Delta epsilon(k(F)l) where g(N)=4,pi and 2.66 when N=1,2, and 3, respectively. [S0163-1829(98)08935-8].

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: PHYSICAL REVIEW B
Publisher: AMERICAN PHYSICAL SOC
ISSN: 0163-1829
Date: 15 October 1998
Volume: 58
Number: 15
Number of Pages: 2
Page Range: pp. 9639-9640
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/15274

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