Bloch Oscillations of an Electron in a Crystal under the Action of an Electric Field | Zendy

Nazareno H. N. | Zendy; Gallardo J. C. | Zendy

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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 .

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