Magnetic Bloch oscillations
Department of Physics, Technion-Israel Institute of Technology - Haifa 32000, Israel
Received: 23 January 2014
Accepted: 6 March 2014
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.
PACS: 71.10.-w – Theories and models of many-electron systems / 42.50.-p – Quantum optics / 03.50.De – Classical electromagnetism, Maxwell equations
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