Peculiar Nature of Snake States in Graphene

Abstract

We study the dynamics of the electrons in a non-uniform magnetic field applied perpendicular to a graphene sheet in the low energy limit when the excitation states can be described by a Dirac type Hamiltonian. We show that as compared to the two-dimensional electron gas (2DEG) snake states in graphene exibit peculiar properties related to the underlying dynamics of the Dirac fermions. The current carried by snake states is locally uncompensated even if the Fermi energy lies between the first non-zero energy Landau levels of the conduction and valence bands. The nature of these states is studied by calculating the current density distribution. It is shown that besides the snake states in finite samples surface states also exist.

arXiv comment4 pages, 5 figures

References in corpus (19)

• 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
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• Electronic States of Graphene Nanoribbons
• Unconventional Integer Quantum Hall effect in graphene
• Electronic and Magnetic Properties of Nanographite Ribbons
• Graphene: new bridge between condensed matter physics and quantum electrodynamics
• Magnetic confinement of massless Dirac fermions in graphene
• Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
• Conductance quantization and snake states in graphene magnetic waveguides
• Intrinsic Zeeman Effect in Graphene
• Snake orbits and related magnetic edge states
• Hofstadter butterflies of carbon nanotubes: Pseudofractality of the magnetoelectronic spectrum
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Confined magnetic guiding orbit states
• Resonant reflection at magnetic barriers in quantum wires
• Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac electrons in graphene

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