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 language | English (US) |
|---|---|
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties |
| Volume | 75 |
| Issue number | 1 |
| State | Published - Jan 1997 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Chemical Engineering(all)
- Physics and Astronomy(all)
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Optical absorption of non-interacting tight-binding electrons in a Peierls-distorted chain at half band-filling. / Gebhard, F.; Bott, K.; Scheidler, M.; Thomas, P.; Koch, Stephan W.
In: Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties, Vol. 75, No. 1, 01.1997, p. 1-12.Research output: Contribution to journal › Article
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TY - JOUR
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.
UR - http://www.scopus.com/inward/record.url?scp=0004079418&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0004079418&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0004079418
VL - 75
SP - 1
EP - 12
JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
SN - 1364-2812
IS - 1
ER -