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Impedance Conditions in Metal Nanowires

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Abstract—

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.

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Funding

This study was supported by the Ministry of Science and Higher Education of the Russian Federation as a part of a state assignment (project no. FSRR-2020-0004).

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  1. Saratov State University, 410012, Saratov, Russia

    M. V. Davidovich

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Translated by I. Obrezanova

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Davidovich, M.V. Impedance Conditions in Metal Nanowires. J. Commun. Technol. Electron. 66, 853–867 (2021). https://doi.org/10.1134/S1064226921060085

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