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Magneto‐Optics of Holes in the Presence of Internal Strains and Temperature in Single Quantum Well Structures
Author(s) -
Singh M.,
Tang S. Y.
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.2221540218
Subject(s) - physics , hamiltonian (control theory) , condensed matter physics , landau quantization , phonon , quantum mechanics , quantum , magnetic field , excitation , wave function , mathematics , mathematical optimization
Expression are obtained for the frequency dependence conductivity tensor in the presence of a magnetic field and hole‐phonon interaction for p‐type single quantum well structures. From this one obtains the information about the transport and optical properties of single quantum well structures. The [4 × 4] Luttinger‐Kohn type of Hamiltonian is used to calculate Landau levels and Landau wave functions. Linear response theory is used to calculate the conductivity tensor and Green's function method is used to calculate the relaxation time (or Landau level broadening) due to hole‐phonon interaction. The [4 × 4] matrix interaction Hamiltonian is considered for the hole‐phonon interaction which includes the effects of internal strains arising from the mismatch of lattice constant or other defects. Selection rules Δ n = ±3, Δ n = ±1, are found and their corresponding probability amplitudes are obtained. Dispersional relations for magnetoplasma waves and elementary excitation are also given.