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Polarons in the Degenerate‐Band Case. II. Weak to Intermediate Hole–Phonon Coupling
Author(s) -
Trebin H.R.
Publication year - 1977
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.2220810213
Subject(s) - polaron , physics , phonon , condensed matter physics , ansatz , degenerate energy levels , scattering , renormalization , quantum mechanics , electron
Due to the valence band degeneracy it is a special feature of the hole‐phonon interaction in cubic polar semiconductors that the holes cannot only be intraband but also interband scattered by virtual LO phonons. Within the k · p ‐formalism this amounts to a change of the \documentclass{article}\pagestyle{empty}\begin{document}$ J = \frac{3}{2} $\end{document} spin component along the hole wave vector. It is shown that because of this spin scattering new correlations between the emission of successive phonons are introduced in addition to those caused by the hole recoil. A generalized Glauber‐state ansatz is made for the wave function of slowly moving hole polarons containing spin‐dependent displacement amplitudes. With the use of the Fröhlich interaction term renormalization relations for the band parameters γ 1 and μ are established valid for weak to intermediate hole–phonon coupling.