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Exchange Interaction between Excitons in the Quasi‐Cubic Model
Author(s) -
Skettrup T.,
Balslev I.
Publication year - 1970
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.19700400111
Subject(s) - exciton , condensed matter physics , cubic crystal system , exchange interaction , valence (chemistry) , dielectric , deformation (meteorology) , matrix (chemical analysis) , materials science , physics , quantum mechanics , ferromagnetism , composite material
Abstract The general properties of the exchange matrix element between hydrogenic exciton states in a cubic crystal are discussed. It is shown that the high frequency dielectric constant should be applied in the screening of the long range exchange interaction. The exchange effects are then incorporated in the quasi‐cubic model of uniaxial crystals. Including also an external stress the energy levels and oscillator strengths of the exciton states are derived. The theoretical results are consistent with existing optical data on ZnO. By comparison values for the exchange integral and a valence band deformation potential are obtained.