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Abstract: Electric current and spacial displacement due to trembling motionZitterbewegung ZB of electrons in graphene in the presence of an externalmagnetic field are described. Contributions of both inequivalent $K$ points inthe Brillouin zone of graphene are considered. It is shown that, when theelectrons are prepared in the form of wave packets, the presence of aquantizing magnetic field $B$ has very important effects on ZB. 1 For $B eq0$ the ZB oscillations are permanent, for B=0 they are transient. 2 For$B eq 0$ many ZB frequencies appear, for B=0 only one frequency is at work.3 For $B eq 0$ both interband and intraband cyclotron frequenciescontribute to ZB, for B=0 there are no intraband frequencies. 4 Magneticfield intensity changes not only the ZB frequencies but the entire character ofZB spectrum. An emission of electromagnetic dipole radiation by the tremblingelectrons is proposed and described. It is argued that graphene in a magneticfield is a promising system for an experimental observation of Zitterbewegung.



Autor: Tomasz M. Rusin, Wlodek Zawadzki

Fuente: https://arxiv.org/







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