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Coulomb Interaction and Polaronic Exciton States in Compositional Superlattices
Author(s) -
Beril S. I.,
Pokatilov E. P.,
Kalinovski V. V.
Publication year - 1992
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.2221690213
Subject(s) - polaron , condensed matter physics , exciton , superlattice , biexciton , physics , electron , renormalization , coulomb , hamiltonian (control theory) , phonon , binding energy , quantum mechanics , mathematical optimization , mathematics
The general theory of Wannier‐Mott polaron excitonic states is developed using the Pekar‐Fröhlich Hamiltonian of electron‐phonon interaction in a periodic structure consisting of alternating pairs of two different polar semiconductor layers, such as compositional superlattices (SL). The effects of dynamical screening of electron‐phonon interaction by inertial polarization are examined in two limiting cases, namely in the Haken limit with R ex > R i and in the Meyer limit with R ex < R i ,; R ex , R i , are the exciton and polaron radii of electron ( i = e) or hole ( i = h). For the first time the renormalization of the optical vibration spectrum is taken into account, and the exact potential of electron‐hole interaction is used to calculate the size dependent exciton binding energy. The theory is employed to calculate the binding energy of exciton states in GaAs/Al x Ga 1− x As superlattices.