Zitterbewegung of electrons in graphene in a magnetic field

Abstract

Electric current and spacial displacement due to trembling motion [Zitterbewegung (ZB)] of electrons in graphene in the presence of an external magnetic field are described. Contributions of both inequivalent $K$ points in the Brillouin zone of graphene are considered. It is shown that, when the electrons are prepared in the form of wave packets, the presence of a quantizing magnetic field $B$ has very important effects on ZB. (1) For $B\ne 0$ the ZB oscillations are permanent, for B=0 they are transient. (2) For $B\ne 0$ many ZB frequencies appear, for B=0 only one frequency is at work. (3) For $B\ne 0$ both interband and intraband (cyclotron) frequencies contribute to ZB, for B=0 there are no intraband frequencies. (4) Magnetic field intensity changes not only the ZB frequencies but the entire character of ZB spectrum. An emission of electromagnetic dipole radiation by the trembling electrons is proposed and described. It is argued that graphene in a magnetic field is a promising system for an experimental observation of Zitterbewegung.

9 pages, 8 figures

References in corpus (15)

• Electric Field Effect in Atomically Thin Carbon Films
• Landau level spectroscopy of ultrathin graphite layers
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Zitterbewegung of electronic wave packets in semiconductor nanostructures
• Observing Zitterbewegung in Ultracold Atoms
• Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems
• Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
• Photon-assisted electron transport in graphene
• Oscillatory multiband dynamics of free particles: The ubiquity of zitterbewegung effects
• Atomic Zitterbewegung
• Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect
• Cyclotron motion in graphene
• Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
• Zitterbewegung of nearly-free and tightly bound electrons in solids

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