Numerical Experiments on the Absorption Lineshape of the Exciton under Lattice Vibrations.III.The Urbach Rule
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概要
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We analyze the low-energy tail of the exciton absorption spectra calculatednumerically on the standard model of exciton-phonon interaction. The empiricalUrbach rule is established in its exponential decay for several orders of magnitudewith a decay constant proportional to inverse temperature T ' in two and threedimesnions and to T "' in one dimension. A posteriori, the exponential tail isunambiguously ascribed to the "momentarily localized" excitons by consideringthe behaviour of the average oscillator strength per state. We introduce the steep-ness index s which relates the steepness coefficient o and the exciton-phononcoupling constant g through o=s/g. Our calculated values of 1.24 for square and1.50 for simple cubic lattices enable us to correlate experimental observations onUrbach behaviour and self-trapping consistently.
- 社団法人日本物理学会の論文
- 1982-05-15
著者
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Toyozawa Yutaka
The Institute For Solid State Physics The University Of Tokyo
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Schreiber Michael
The Institute For Solid State Physics The University Of Tokyo:institut Fur Physik Universitat Dortmu
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Schreiber Michael
The Institute For Solid State Physics The University Of Tokyo:institut Fur Physik Universitat Dortmu
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