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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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Bibliographic Details
Published in:Europhysics letters 2014-03, Vol.105 (6), p.67001-67001, Article 67001
Main Author: Zak, J.
Format: Article
Language:English
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Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/105/67001