Magnetic Bloch oscillations

It is shown that the orbit quasi-center of a Bloch electron in a magnetic field is a conserved quantity. This is similar to the conservation of the quasi-momentum for an electron in a periodic potential. When an electric field is turned on, the orbit quasi-center oscillates in a similar way to the o...

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Published in:Europhysics letters 2014-03, Vol.105 (6), p.67001-67001, Article 67001
Main Author: Zak, J.
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Language:English
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Analogies
Conservation
Electric fields
Ladders
Magnetic fields
Orbits
Oscillations
Translations
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description It is shown that the orbit quasi-center of a Bloch electron in a magnetic field is a conserved quantity. This is similar to the conservation of the quasi-momentum for an electron in a periodic potential. When an electric field is turned on, the orbit quasi-center oscillates in a similar way to the oscillations of a Bloch electron without a magnetic field. An analogy is drawn between Bloch oscillations and possible magnetic Bloch oscillations. By using the magnetic translations it is indicated that a magnetic Wannier-Stark ladder appears in the spectrum of a Bloch electron in a magnetic field.
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subjects 03.50.De
42.50.-p
71.10.-w
Analogies
Conservation
Electric fields
Ladders
Magnetic fields
Orbits
Oscillations
Translations
title Magnetic Bloch oscillations
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