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Theory of Electron Scattering by Quasi‐Periodic Static Fluctuations in the Presence of Electric and Magnetic Fields
Author(s) -
Hsu W. Y.,
Falicov L. M.
Publication year - 1974
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.2220660228
Subject(s) - zener diode , physics , condensed matter physics , scattering , wave vector , magnetic field , electron , quantum electrodynamics , wave packet , electric field , constant (computer programming) , lattice (music) , lattice constant , limit (mathematics) , quantum mechanics , mathematical analysis , mathematics , voltage , computer science , acoustics , diffraction , programming language , resistor
An extension of the Zener breakdown theory is presented. It corresponds to the case in which the periodic lattice potential is replaced by a quasi‐periodic static fluctuation of mean wave vector g The scattering probability for a wave packet which satisfies the “Bragg condition” to change its wave vector by g is found to be a constant Q 0 much smaller than one for fields up to a very high value E 0 , and a decay as Q 0 ( E 0 / E ) beyond that value. The classical Zener case is obtained as one limit. Extensions to magnetic field induced effects are discussed.