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, Stephan W Koch

Research output: Contribution to journalArticle

35 Citations (Scopus)

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 dimenzation 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
StatePublished - Jan 1997
Externally publishedYes

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Light absorption
optical absorption
Electrons
operators
electrons
Electron transitions
Momentum
frequency ranges
dipoles
broadband
bandwidth
momentum
Bandwidth

ASJC Scopus subject areas

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

Cite this

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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 dimenzation 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.",
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T1 - Optical absorption of non-interacting tight-binding electrons in a Peierls-distorted chain at half band-filling

AU - Gebhard, F.

AU - Bott, K.

AU - Scheidler, M.

AU - Thomas, P.

AU - Koch, Stephan W

PY - 1997/1

Y1 - 1997/1

N2 - 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 dimenzation 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.

AB - 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 dimenzation 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.

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JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties

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SN - 1364-2812

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