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Energy Spectrum of the Cross Motion of Excitons in a Superlattice
Author(s) -
Guseinov R. R.
Publication year - 1985
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.2221300119
Subject(s) - exciton , superlattice , brillouin zone , condensed matter physics , perpendicular , momentum (technical analysis) , physics , plane (geometry) , dielectric , quantum mechanics , geometry , mathematics , finance , economics
On the basis of the exact expression for the potential of a point charge in a superlattice, consisting of alternating layers with two different values of the dielectric constant, the energy spectrum is found of an exciton motion, perpendicular to the superlattice layer direction, at small values of the exciton quasi‐momentum component parallel to the layer plane. An evident form of an exciton energy dependence on the cross component of quasi‐momentum which is perpendicular to the layer plane is adduced. The exciton energy has a maximum at the centre of the Brillouin zone of the cross quasi‐momentum and a minimum at its boundaries.