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Bloch Oscillations of an Electron in a Crystal under the Action of an Electric Field
Author(s) -
Nazareno H. N.,
Gallardo J. C.
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.2221530118
Subject(s) - propagator , electric field , amplitude , bloch oscillations , physics , photon , electron , action (physics) , condensed matter physics , field (mathematics) , crystal (programming language) , quantum mechanics , quantum electrodynamics , atomic physics , mathematics , computer science , pure mathematics , programming language
The dynamical localization problem of an electron in a ID crystal under the action of a uniform de electric field E is solved. Starting with a determined state at t = 0, it is solved for the Wannier amplitudes (propagator) and shown that they oscillate in time with the Bloch frequency. Moreover, it is shown the behaviour of the optical absorption coefficient as a function of the photon frequency ω which shows jumps whenever the photon energies equal multiples of eEa .