Cyclotron motion in graphene

Abstract

We investigate cyclotron motion in graphene monolayers considering both the full quantum dynamics and its semiclassical limit reached at high carrier energies. Effects of zitterbewegung due to the two dispersion branches of the spectrum dominate the irregular quantum motion at low energies and are obtained as a systematic correction to the semiclassical case. Recent experiments are shown to operate in the semiclassical regime.

6 pages, 1 figure included

References in corpus (24)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Room-Temperature Quantum Hall Effect in Graphene
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Infrared spectroscopy of Landau levels in graphene
• The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
• Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
• Zitterbewegung of electronic wave packets in semiconductor nanostructures
• Unified description of the Zitterbewegung for spintronic, graphene and superconducting systems
• Spin transverse force on spin current in an electric field
• Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
• Spin-orbit interaction in symmetric wells with two subbands
• Zitterbewegung and its effects on electrons in semiconductors
• Photon-assisted electron transport in graphene
• Zitterbewegung of electrons and holes in III-V semiconductor quantum wells
• Oscillatory multiband dynamics of free particles: The ubiquity of zitterbewegung effects
• Transverse Spin-Orbit Force in the Spin Hall Effect in Ballistic Semiconductor Wires
• One-dimensional semirelativity for electrons in carbon nanotubes
• Spin Hall effect and zitterbewegung in an electron waveguide
• Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
• Cyclotron motion and magnetic focusing in semiconductor quantum wells with spin-orbit coupling
• Zitterbewegung of nearly-free and tightly bound electrons in solids
• Ballistic side jump motion of electrons and holes in semiconductor quantum wells

Cited by in corpus (37)

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• Interplay between spin-orbit interactions and a time-dependent electromagnetic field in monolayer graphene
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• High magnetic field theory for the local density of states in graphene with smooth arbitrary potential landscapes
• Zitterbewegung effect in spin-orbit coupled spin-1 ultracold atoms
• Diffusion in the random gap model of mono- and bilayer graphene
• Classical to quantum crossover of the cyclotron resonance in graphene: A study of the strength of intraband absorption
• Enhanced asymmetric valley scattering by scalar fields in non-uniform out-of-plane deformations in graphene
• Phase-space representation of Landau and electron coherent states for uniaxially strained graphene
• Laser induced modulation of the Landau level structure in single-layer graphene
• Zitterbewegung in monolayer silicene in a magnetic field
• PT phase transition in a (2+1)-d relativistic system
• Long-range correlations in disordered graphene
• Non-reciprocal quantum Hall devices with driven edge magnetoplasmons in 2-dimensional materials
• Wave packet dynamics in hole Luttinger systems
• Zitterbewegung in time-reversal Weyl Semimetals
• Steering Zitterbewegung in driven Dirac systems -- from persistent modes to echoes
• Zitterbewegung of a heavy hole in presence of spin-orbit interactions
• Wave packet dynamics in monolayer MoS${}_2$ with and without a magnetic field
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• Fisher information, nonclassicality and quantum revivals
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• Wave packet dynamics in various two-dimensional systems: a unified description
• Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices