Zitterbewegung (trembling motion) of electrons in semiconductors: a Review
arXiv:1101.0623 · doi:10.1088/0953-8984/23/14/143201
Abstract
We review recent research on Zitterbewegung (ZB, trembling motion) of electrons in semiconductors. A brief history of the subject is presented, the trembling motion in semirelativistic and spin systems is considered and its main features are emphasized. Zitterbewegung of charge carriers in monolayer and bilayer graphene as well as in carbon nanotubes is elaborated in some detail. We describe effects of an external magnetic field on ZB using monolayer graphene as an example. Nature of electron ZB in crystalline solids is explained. We also review various simulations of the trembling motion in a vacuum and in semiconductors, and mention ZB-like wave phenomena in sonic and photonic periodic structures. An attempt is made to quote all the relevant literature on the subject.
20 pages, 12 figures, Review article
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Cited by in corpus (32)
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Dynamics of a quasiparticle in the -T model: Role of pseudospin polarization and transverse magnetic field on \textbf{\textit{zitterbewegung}}
- Revivals of Zitterbewegung of a bound localized Dirac particle
- Spin and localization of relativistic fermions and uncertainty relations
- Snake states and Klein tunneling in a graphene Hall bar with a pn-junction
- Dynamics of quasiparticles in graphene under intense circularly polarized light
- Zitterbewegung in monolayer silicene in a magnetic field
- Relativistic electron transport through an oscillating barrier: wave packet generation and Fano-type resonances
- Universal semiclassical equations based on the quantum metric
- Effect of zitterbewegung on the propagation of wave packets in ABC-stacked multilayer graphene: an analytical and computational approach
- The noncommutative geometry of Zitterbewegung
- Time-evolution patterns of electrons in twisted bilayer graphene
- Scattering of a Dirac electron on a mass barrier
- Quantum metric dependent anomalous velocity in systems subject to complex electric fields
- A new phenomenon in graphene: The pseudospinorial Zitterbewegung
- Electric control of the bandgap in quantum wells with band-inverted junctions
- Zitterbewegung and Klein-tunneling phenomena for transient quantum waves
- Zitterbewegung and symmetry switching in Klein's four-group
- Plunging in the Dirac sea using graphene quantum dots
- Zitterbewegung of Klein-Gordon particles and its simulation by classical systems
- Two-photon echo method for observing electron Zitterbewegung in carbon nanotubes
- Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force
- Current Density of Majorana Bound States
- Zitterbewegung-mediated RKKY coupling in topological insulator thin films
- Dynamically Characterizing the Structures of Dirac Points via Wave Packets
- Photonic cellular automaton simulation of relativistic quantum fields: observation of Zitterbewegung
- Zitterbewegung in Noncommutative Geometry
- Dynamical Signatures of Floquet Topology in Wave Packet Dynamics
- Position operators and interband matrix elements of scalar and vector potentials in the 8-band Kane model
- Exact ground state for the four-electron problem in a 2D finite honeycomb lattice
- Topological quantum electrodynamics in synthetic non-Abelian gauge fields
- Trembling motion of electrons driven by Larmor spin precession