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Polarons and Wannier Excitons in Anisotropic Polar Crystals
Author(s) -
Pertzsch B.,
Rössler U.
Publication year - 1980
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.2221010121
Subject(s) - polaron , exciton , anisotropy , condensed matter physics , renormalization , wannier function , physics , effective mass (spring–mass system) , phonon , polar , binding energy , electron , coupling (piping) , generalization , quantum mechanics , materials science , mathematics , metallurgy , mathematical analysis
For the case of anisotropic band masses and anisotropic electron–phonon coupling the polaron problem is treated by the method of Lee, Low, and Pines. In the same case the phonon‐induced effective interaction between electron and hole in a Wannier exciton is an anisotropic generalization of the well‐known Haken potential. Self‐energy and mass renormalization of the polaron as well as the binding energy of the exciton and the influence of the different terms of the effective potential are discussed as a function of the parameters of anisotropy.