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All Effective Mass Approximation for Several Bands
Author(s) -
Lukes T.,
Roberts M.
Publication year - 1969
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.19690350141
Subject(s) - formalism (music) , effective mass (spring–mass system) , lattice (music) , gallium arsenide , impurity , physics , gallium , mathematics , quantum mechanics , condensed matter physics , materials science , art , musical , acoustics , visual arts , metallurgy
The effective mass formalism is generalized to include the effect of several bands by constructing an approximate Green's function for the periodic lattice. Energy levels are obtained for a hydrogenic impurity in a periodic lattice described by two and three parabolic bands. In addition to the energy levels predicted by effective mass theory a deep level is found. An explicit expression for the deep level is given in terms of the band parameters and a comparison with the experimentally observed deep levels in gallium arsenide is made.