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Spin‐Orbit Splitting of the Valence Band of Wurtzite Type Crystals
Author(s) -
Gutsche E.,
Jahne E.
Publication year - 1967
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.19670190235
Subject(s) - hamiltonian (control theory) , spin–orbit interaction , wurtzite crystal structure , anisotropy , condensed matter physics , wave function , valence (chemistry) , physics , valence band , atomic physics , chemistry , band gap , quantum mechanics , mathematics , mathematical optimization , diffraction
A 12×12 representation is given of the valence band Hamiltonian at k = 0 which includes the spin‐orbit interaction. Expressions are derived for the energies and the linear combinations of the wave functions for the Γ 7 , Γ 8 , and Γ 9 subbands. The whole valence band is completely determined by eight parameters: three energies, two parameters coupling states of equal spin, and three parameters coupling states of opposite spin. In principle, all parameters can be obtained experimentally from the energy separations and oscillator strengths for interband transitions for polarization ⟂ c and ∥ c . Anisotropic spin‐orbit interaction and mixing of states originating from the two anions per unit cell are discussed.