Theory of electron Zitterbewegung in graphene probed by femtosecond laser pulses
arXiv:0812.4773 · doi:10.1103/PhysRevB.80.045416
Abstract
We propose an experiment allowing an observation of Zitterbewegung (ZB, trembling motion) of electrons in graphene in the presence of a magnetic field. In contrast to the existing theoretical work we make no assumptions concerning shape of the electron wave packet. A femtosecond Gaussian laser pulse excites electrons from the valence Landau level into three other levels, creating an oscillating electron wave packet with interband and intraband frequencies. Oscillations of an average position of the packet are directly related to the induced dipole moment and oscillations of the average packet's acceleration determine emitted electric field. Both quantities can be measured experimentally. A broadening of Landau levels is included to make the description of ZB as realistic as possible. Criteria of realization of a ZB experiment are discussed.
10 pages 6 figures; Published version
References in corpus (29)
- Electric Field Effect in Atomically Thin Carbon Films
- Landau Level Splitting in Graphene in High Magnetic Fields
- Approaching the Dirac point in high mobility multi-layer epitaxial graphene
- Landau level spectroscopy of ultrathin graphite layers
- Scanning Tunneling Spectroscopy of Graphene on Graphite
- Energy gaps in etched graphene nanoribbons
- 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
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Zitterbewegung of electronic wave packets in semiconductor nanostructures
- Observing Zitterbewegung in Ultracold Atoms
- Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems
- Zitterbewegung of electrons in graphene in a magnetic field
- Extremal transmission and beating effect of acoustic wave in two-dimensional sonic crystal
- Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
- Photon-assisted electron transport in graphene
- Generalized kinetic equations for charge carriers 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
- Wave packet dynamics in 2DEG with spin orbit coupling: splitting and zitterbewegung
- Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
- Rabi Oscillations in Landau-Quantized Graphene
- The shape of disorder broadened Landau subbands in graphene
- Zitterbewegung of nearly-free and tightly bound electrons in solids
- Zitterbewegung by Quantum Field Theory Considerations
- Large Berry phases in layered graphene
- Zitterbewegung (trembling motion) of electrons in narrow gap semiconductors
Cited by in corpus (50)
- Artificial gauge potentials for neutral atoms
- Dirac electronic states in graphene systems: Optical spectroscopy studies
- Wave packet dynamics and valley filter in strained graphene
- Zitterbewegung (trembling motion) of electrons in semiconductors: a Review
- Wave packet dynamics in a monolayer graphene
- Relativistic quantum mechanics with trapped ions
- Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene
- Revivals of quantum wave-packets in graphene
- Geometrical and topological aspects of graphene and related materials
- General Theory of the Zitterbewegung
- Graphene superlattice with periodically modulated Dirac gap
- Breakdown of Dirac Dynamics in Honeycomb Lattices due to Nonlinear Interactions
- Ballistic transport, chiral anomaly and emergence of the neutral electron - hole plasma in graphene
- Model of an exotic chiral superconducting phase in a graphene bilayer
- A dynamical time operator in Dirac's relativistic quantum mechanics
- On the Compton clock and the undulatory nature of particle mass in graphene systems
- Zitterbewegung of relativistic electrons in a magnetic field and its simulation by trapped ions
- Nature of electron Zitterbewegung in crystalline solids
- Revivals of Zitterbewegung of a bound localized Dirac particle
- Zitterbewegung effect in spin-orbit coupled spin-1 ultracold atoms
- Lattice-layer entanglement in Bernal-stacked bilayer graphene
- Laser induced modulation of the Landau level structure in single-layer graphene
- Dynamics of quasiparticles in graphene under intense circularly polarized light
- Zitterbewegung in monolayer silicene in a magnetic field
- Chiral oscillations in the non-relativistic regime
- Zitterbewegung of moiré excitons in twisted MoS/WSe hetero-bilayers
- Different models of gravitating Dirac fermions in optical lattices
- Effect of zitterbewegung on the propagation of wave packets in ABC-stacked multilayer graphene: an analytical and computational approach
- Trembling Motion of Exciton-Polaritons Close to the Rashba-Dresselhaus Regime
- Wave packet revivals in a graphene quantum dot in a perpendicular magnetic field
- Wave packet dynamics in hole Luttinger systems
- Graphene lattice-layer entanglement under non-Markovian phase noise
- Zitterbewegung in time-reversal Weyl Semimetals
- Zitterbewegung of electrons in carbon nanotubes created by laser pulses
- near new Dirac points in graphene superlattice
- Zitterbewegung of optical pulses in nonlinear frequency conversion
- Two distinct ballistic processes in graphene at Dirac point
- Kohn-Luttinger superconductivity in monolayer and bilayer semimetals with the Dirac spectrum
- Time-diffraction and Zitterbewegung of two-dimensional massless Dirac excitations
- Particle Transport in Graphene Nanoribbon Driven by Ultrashort Pulses
- Zitterbewegung and Klein-tunneling phenomena for transient quantum waves
- Anomalous superconductivity and superfluidity in repulsive fermion systems
- Revealing inherent quantum interference and entanglement of a Dirac particle
- Two-photon echo method for observing electron Zitterbewegung in carbon nanotubes
- Re-assessing special aspects of Dirac fermions in presence of Lorentz-symmetry violation
- Annular wave packets at Dirac points and probability oscillation in graphene
- Zitterbewegung-mediated RKKY coupling in topological insulator thin films
- Photonic zitterbewegung and its interpretation
- Trembling electrons cause conductance fluctuation
- Consequences of a Two-Time Relativistic Bohmian Model