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Polaronic Hamiltonian and Polar Optical Vibrations in Multilayer Structures
Author(s) -
Klimin S. N.,
Pokatilov E. P.,
Fomin V. M.
Publication year - 1995
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.2221900213
Subject(s) - hamiltonian (control theory) , physics , polarization (electrochemistry) , polar , condensed matter physics , polaron , vibration , phonon , dispersion relation , electron , equations of motion , magnetic field , classical mechanics , quantum electrodynamics , quantum mechanics , chemistry , mathematics , mathematical optimization
A theory of polar optical vibrations in multilayer semiconductor structures is developed taking into account phonon dispersion. A method of diagonalization of the equations of motion for inertial polarization vectors in the finite basis is used, that is founded on a finite number of degrees of freedom of the system. The Hamiltonian of the electron‐phonon interaction is deduced. The dispersion law and the spatial dependence of the obtained eigenmodes are in good agreement with experimental data and microscopic models. It is shown that the electron scattering rate in a magnetic field depends on the chosen model of polar optical vibrations.