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Scattering probabilities for holes. II. Polar optical scattering mechanism
Author(s) -
Costato M.,
Reggiani L.
Publication year - 1973
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.2220590103
Subject(s) - scattering , valence (chemistry) , physics , valence band , decoupling (probability) , polar , wave function , condensed matter physics , atomic physics , phonon , band gap , optics , quantum mechanics , engineering , control engineering
The integrated scattering probabilities per unit time for the hole‐polar optical scattering mechanism have been evaluated for a typical two‐band ( E v1 and E v2 ) valence band structure (spherical and parabolic). The wave functions of the two bands are mostly p‐like, the first (P 3/2 , M ±1/2 ), the second (P 3/2 , M ±3/2 ). The symmetry properties of the valence band wave functions are shown to introduce important effects in the coupling and decoupling of the two bands by mixing of Bloch states. The apparent paradoxon of an infinity in the transition probability, for emission and absorption processes in a vertical transition between E v1 and E v2 if E v1 ‐ E v2 = h ω 0 the optical phonon energy, is removed by the symmetry of the valence band wave functions.