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Phonons and the Electron‐Phonon Interaction in Multi‐Layer Systems
Author(s) -
Fomin V. M.,
Pokatilov E. P.
Publication year - 1985
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.2221320106
Subject(s) - phonon , homopolar motor , condensed matter physics , hamiltonian (control theory) , polarization (electrochemistry) , electron , dielectric , surface phonon , semiconductor , physics , materials science , quantum mechanics , chemistry , mathematics , magnet , mathematical optimization
A theory of the potential due to the slow polarization field is developed for multi‐layer systems with an arbitrary number of layers. The general expression of the potential is specialized for three‐ layer and periodic systems. As result of diagonalization of the energy of the polarization vibration field, the bulk and surface vibrations are separated and the spectrum of their eigenfrequencies is determined both, for systems with a finite number of layers (inparticular, for a layer of a heteropolar semiconductor between a substrate of an ionic crystal and a homopolar dielectric medium) and for periodic systems. Finally, the exact electron‐phonon interaction Hamiltonian for multilayer systems is obtained in the second quantization representation.