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• W2044804557 abstract "We analyze the low-energy tail of the exciton absorption spectra calculated numerically on the standard model of exciton-phonon interaction. The empirical Urbach rule is established in its exponential decay for several orders of magnitude with a decay constant proportional to inverse temperature T -1 in two and three dimesnions and to T -2/3 in one dimension. A posteriori, the exponential tail is unambiguously ascribed to the “momentarily localized” excitons by considering the behaviour of the average oscillator strength per state. We introduce the steepness index s which relates the steepness coefficient σ and the exciton-phonon coupling constant g through σ= s / g . Our calculated values of 1.24 for square and 1.50 for simple cubic lattices enable us to correlate experimental observations on Urbach behaviour and self-trapping consistently." @default.
• W2044804557 created "2016-06-24" @default.
• W2044804557 creator A5051950354 @default.
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• W2044804557 date "1982-05-01" @default.
• W2044804557 modified "2023-10-02" @default.
• W2044804557 title "Numerical Experiments on the Absorption Lineshape of the Exciton under Lattice Vibrations. III. The Urbach Rule" @default.
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• W2044804557 doi "https://doi.org/10.1143/jpsj.51.1544" @default.
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