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Band and branch inversion phenomena in GaAs–Al x Ga 1–x As superlattices
Author(s) -
de Digs Leyva M.,
Sabin J.,
Gondae J. López
Publication year - 1986
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.2221340220
Subject(s) - superlattice , homogeneous space , condensed matter physics , point reflection , inversion (geology) , physics , envelope (radar) , parity (physics) , electronic band structure , mathematics , geometry , atomic physics , paleontology , telecommunications , radar , structural basin , computer science , biology
A detailed analysis of the symmetry properties of the Bloch envelope functions in GaAs–Al x Ga 1–x As superlattices (SL) for finite values of k ⟂ is made. It is pointed out that in the ( E , k , k ⟂ ) space, where k is the SL wave vector, the energy spectrum is built up of independent branches. Each one of these branches contains two curves of definite parity placed at the planes k = 0 and k = π/d , where d is the SL period. It is shown that with increasing magnitude of k ⟂ , an interchange of symmetries between branches (similar to the well known band inversion phenomenon) may occur at the plane k = 0 or k = π/d. Furthermore, it is also shown that a magnetic field may induce interchange of symmetries between contiguous bands.