Impedance Conditions in Metal Nanowires

— Approximate equations for the conductivity of metal nanowires of finite width and finite thickness and finite-thickness films are obtained in the context of the Landauer–Datta–Lundstrom model. The equations go over to the known limiting cases and are convenient for determining the conductivity of...

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Bibliographic Details
Published in:Journal of communications technology & electronics 2021-07, Vol.66 (7), p.853-867
Main Author: Davidovich, M. V.
Format: Article
Language:English
Subjects:
Communications Engineering
Energy levels
Engineering
Nanoelectronics
Nanowires
Networks
Plasma frequencies
Quantum wires
Schrodinger equation
Sommerfeld waves
Thickness
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Summary:— Approximate equations for the conductivity of metal nanowires of finite width and finite thickness and finite-thickness films are obtained in the context of the Landauer–Datta–Lundstrom model. The equations go over to the known limiting cases and are convenient for determining the conductivity of nanostructures considering both transverse dimensions. Approximate potential distribution and functionals for solving the corresponding Schrödinger equation are proposed to calculate the number of conduction modes of quantum wires of finite transverse dimensions. The number of energy levels is calculated. The solution to the problem of a Zenneck–Sommerfeld wave in a rectangular wire, which transforms into a surface plasmon at high frequencies, is considered. The solution significantly depends on the change in the plasma frequency associated with transverse dimensions.
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226921060085