Spectral function for a conducting sheet containing circular inclusions

B. Djordjević, J. Hetherington, M. Thorpe

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

The conductivity (or dielectric behavior) of a binary composite system is conveniently expressed in terms of a spectral function, which is determined by the geometry of the composite. In this paper we examine the case of circular inclusions in a conducting sheet and keep terms up to second order in the inclusion concentration f. The two-inclusion problem can be solved exactly using multiple images, and we use this solution to construct the spectral function. We show that the spectral function is a truncated Lorentzian that can be calculated in a simple closed form. Both the weight and the width of the spectral function are linear in f.

Original languageEnglish (US)
Pages (from-to)14862-14871
Number of pages10
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume53
Issue number22
DOIs
StatePublished - 1996

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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