All Effective Mass Approximation for Several Bands | Zendy

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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.

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