Optical absorption of non-interacting tight-binding electrons in a Peierls-distorted chain at half band-filling

F. Gebhard, K. Bott, M. Scheidler, P. Thomas, S. W. Koch

Research output: Contribution to journalArticle

36 Scopus citations

Abstract

In this, the first of three articles on the optical absorption of electrons in half-filled Peierls-distorted chains, we present analytical results for non-interacting tight-binding electrons. We carefully derive explicit expressions for the current operator, the dipole transition matrix elements and the optical absorption for electrons with a cosine dispersion relation of bandwidth W and dimerization parameter δ. New correction (η) terms to the current operator are identified. A broad band-to-band transition is found in the frequency range Wδ < ω < W whose shape is determined by the joint density of states for the upper and lower Peierls subbands and the strong momentum dependence of the transition matrix elements.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalPhilosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume75
Issue number1
DOIs
StatePublished - Jan 1997

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Physics and Astronomy(all)

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