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Dielectric Function of Free Carriers with a Nonparabolic Dispersion Relation
Author(s) -
Tsipivka Yu. I.,
Neumann H.,
Unger 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.2221010211
Subject(s) - dispersion relation , dispersion (optics) , physics , perturbation theory (quantum mechanics) , dirac delta function , perturbation (astronomy) , density matrix , matrix (chemical analysis) , function (biology) , condensed matter physics , mathematical analysis , quantum mechanics , quantum electrodynamics , mathematics , materials science , quantum , evolutionary biology , composite material , biology
General expressions for the Bloch density matrix, the Dirac density matrix, and the generalized density matrix for free carriers with a spherical but nonparabolic dispersion relation are derived in arbitrary order of perturbation theory. The linear response function of a free carrier gas with Kane's dispersion law is considered in detail. The deviations from the case of parabolic bands are discussed.