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, S. W.
N1 - Funding Information:
ACKNOWLEDGEMENTS We thank H. BaDler, A. HorvSth, M. Lindberg, S. Mazumdar, M. Schott and G. Weiser for useful discussions. The project was supported in part by the Sonderforschungsbereich 383 ‘Unordnung in Festkorpern auf mesoskopischen Skalen’ of the Deutsche Forschungsgemeinschaft.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
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 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.
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 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.
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U2 - 10.1080/13642819708205700
DO - 10.1080/13642819708205700
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 -