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Hole Velocity in an Electric Field for Valence Bands Degenerate at k = 0
Author(s) -
Dargys A.
Publication year - 1989
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.2221550232
Subject(s) - physics , degenerate energy levels , electric field , valence (chemistry) , condensed matter physics , effective mass (spring–mass system) , vector field , degeneracy (biology) , quantum tunnelling , wave vector , semiconductor , field (mathematics) , atomic physics , quantum mechanics , bioinformatics , mechanics , biology , mathematics , pure mathematics
In p‐type semiconductors having spherical constant energy surfaces and parabolic dispersion law the velocity of the hole immersed in an electric field F , as known, is described by the simple formula F t/ m h,1 , where t is the time and m h,1 the effective mass of heavy or light holes. The paper shows that inclusion of intervalence tunneling between heavy and light mass subbands leads to a more complicated time dependence of the hole velocity, especially near the point of degeneracy, where the wave vector k = 0 . The curves of the time dependence of hole velocity for parameters typical to p‐Ge and for some values of the electric field and initial hole wave vector are presented. The paper also demonstrates how the theory of angular momentum can be adapted to the problems of hole dynamics in valence bands degenerated at k = 0 .