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

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Ünal B.

AIP Advances, vol.2, no.4, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1063/1.4768275
  • Journal Name: AIP Advances
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara University Affiliated: Yes

Abstract

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. © 2012 Copyright 2012 Author(s). This article is distributed under a Creative Commons Attribution 3.0 Unported License.