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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 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | 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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ISSN: | 2158-3226 2158-3226 |
DOI: | 10.1063/1.4768275 |