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

B. Ünal | Zendy

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

Author(s) -

B. Ünal

Publication year - 2012

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4768275

Subject(s) - conductivity , function (biology) , thin film , electrical resistivity and conductivity , differential equation , mathematical analysis , condensed matter physics , surface conductivity , physics , materials science , mathematics , chemistry , quantum mechanics , evolutionary biology , biology

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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