Green function solution of a second-order partial differential equation and conductivity of thin films

Correct form of the Green function G of the Schrödinger equation is developed for a thin metallic film of thickness d which contains infinitesimally weak volume and surface scatterers. Conductivity σ of the film is obtained from the imaginary part of the self-energy Σ appearing in the average G and...

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Published in:AIP advances 2012-12, Vol.2 (4), p.042145-042145-12
Main Author: Uenal, B
Format: Article
Language:English
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Green's functions
Metal films
Partial differential equations
Schroedinger equation
Thin films
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description Correct form of the Green function G of the Schrödinger equation is developed for a thin metallic film of thickness d which contains infinitesimally weak volume and surface scatterers. Conductivity σ of the film is obtained from the imaginary part of the self-energy Σ appearing in the average G and increases smoothly with d and that density of states is not staircaselike as contrast to the usual. Examination of σ in terms of d agrees well with the experiment.
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subjects Green's functions
Metal films
Partial differential equations
Schroedinger equation
Thin films
title Green function solution of a second-order partial differential equation and conductivity of thin films
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