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Random‐matrix model of resonant Rayleigh scattering in systems with exciton fine‐structure splitting
Author(s) -
Runge Erich,
Zimmermann Roland
Publication year - 2004
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200404794
Subject(s) - rayleigh scattering , exciton , scattering , physics , polarization (electrochemistry) , isotropy , excitation , condensed matter physics , atomic physics , computational physics , molecular physics , quantum mechanics , chemistry
We extend our recently developed local random‐matrix model of resonant Rayleigh scattering at the exciton transition in semiconductor nanostructure [Phys. Rev. B 69 , 155307 (2004)] to systems with finite fine‐structure (exchange) splitting. A much richer phenomenology is found due to the interplay of two small characteristic energies, one being the exchange energy and the other given by the average energetic distance of two exciton state localized in the same spatial region. Three contributions to the Rayleigh signal can be distinguished by their temporal and angular behavior. They correspond to forward scattering, backscattering and a broad isotropic background. The change of their relative weight as function of average exchange energies provides further insight into the intimate connection of level repulsion and enhanced backscattering and the origin of the universal 2:3 ratio predicted in our earlier work. The time‐dependent Rayleigh signal is found to depend strongly on the polarization of excitation and detection. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)