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Anharmonic Bloch oscillations of electrons in electrically biased superlattices

Ivanov, K.A.; Girshova, E.I.; Kaliteevski, M.A.; CLark, S.J.; Gallant, A.J.


K.A. Ivanov

E.I. Girshova

M.A. Kaliteevski

A.J. Gallant


The phenomenon of anharmonic Bloch oscillations (i.e., oscillations with a frequency which is a multiple of the Bloch frequency) is considered. The energy-band structure of silicon-carbide polytypes where these oscillations are observed is calculated ab initio. A one-dimensional model potential making it possible to calculate the Stark wave functions in a biased superlattice is constructed for these polytypes. The transfer matrix method is used to find the set of energy levels (the so-called Stark ladder) and calculate the electron wave functions. It is shown that both radiative transitions between neighboring Stark levels (at the Bloch frequency) and transitions in the form of jumps via several levels, accompanied by emission at frequencies that are multiples of the Bloch frequency, may occur. The calculated probabilities of transitions between Stark-ladder levels increase with increasing applied field strength.


Ivanov, K., Girshova, E., Kaliteevski, M., CLark, S., & Gallant, A. (2016). Anharmonic Bloch oscillations of electrons in electrically biased superlattices. Semiconductors, 50(11), 1463-1468.

Journal Article Type Article
Acceptance Date May 10, 2016
Online Publication Date Nov 6, 2016
Publication Date 2016-11
Deposit Date Feb 23, 2017
Journal Semiconductors
Print ISSN 1063-7826
Electronic ISSN 1090-6479
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 50
Issue 11
Pages 1463-1468