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Exciton absorption spectrum (II)
Author(s) -
Sherman A. V.
Publication year - 1986
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.2221350229
Subject(s) - exciton , hamiltonian (control theory) , phonon , absorption spectroscopy , spectral line , limiting , physics , absorption edge , absorption (acoustics) , spectrum (functional analysis) , quantum mechanics , molecular physics , mathematics , optics , band gap , mechanical engineering , mathematical optimization , engineering
In a previous paper the method of the exact calculation of the Green's function and the absorption spectrum of an exciton interacting with phonons a t zero temperature has been developed. For the basis served an expansion of the Green's function into a continued fraction. The calculation of a large number of the continued fraction elements confronts one with some computational difficulties. Here an approximate method of calculating these elements is suggested, which is applicable for arbitrary parameters of the Hamiltonian and allows one to verify the obtained results in the framework of a unified approach. By making use of this method the absorption spectra of a Frenkel exciton interacting with nonpolar optical phonons are calculated for different parameter sets. The spectra reveal the features of both, the limiting cases of nearly free, vibronic, and self‐trapped excitons and the intermediate situations. Direct and indirect band edge cases are considered.