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A Density‐Matrix Functional Approach to Bound Multiexciton Complexes
Author(s) -
Wünsche H.J.,
Henneberger K.
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.2221000120
Subject(s) - hamiltonian (control theory) , formalism (music) , physics , density matrix , semiconductor , impurity , electron , density functional theory , quantum mechanics , classical mechanics , mathematics , quantum , art , mathematical optimization , musical , visual arts
A general Hamiltonian is introduced describing multiexciton complexes bound to impurities in semiconductors. Band couplings by the impurity potential as, e.g., the valley—orbit or intervalence band couplings in cubic many‐valley semiconductors are involved and require a generalization of the conventional density‐functional formalism (DFF). Therefore, instead of the usual densities, the reduced one‐particle density matrices of the electrons and holes are introduced as basic quantities. Within the resulting density‐matrix functional formalism (DMFF) the inhomogeneous multiparticle systems are also described by a system of selfconsistent one‐particle equations. Some general properties of these equations are discussed, especially the consequences concerning the shell structure of bound multiexciton complexes. In case of uncoupled bands they are shown to transform into the conventional Kohn‐Sham equations.