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.

4 pages, 5 figures

References in corpus (11)

• Electric Field Effect in Atomically Thin Carbon Films
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Electronic States of Graphene Nanoribbons
• Unconventional Integer Quantum Hall effect in graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Conductance quantization and snake states in graphene magnetic waveguides
• Intrinsic Zeeman Effect in Graphene
• Hofstadter butterflies of carbon nanotubes: Pseudofractality of the magnetoelectronic spectrum
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• 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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• Magnetic edge states in graphene in nonuniform magnetic fields
• Gauge fields and interferometry in folded graphene
• Zero Landau level in folded graphene nanoribbons
• Quasi-bound states of Schrodinger and Dirac electrons in magnetic quantum dot
• Bound states in inhomogeneous magnetic field in graphene: a semiclassical approach
• Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
• All-strain based valley filter in graphene nanoribbons using snake states
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
• Quantum Hall States in Graphene from Strain-Induced Nonuniform Magnetic Fields
• Imaging snake orbits at graphene n-p junctions
• Chiral interface states in graphene $p$-$n$ junctions
• Reverse strain-induced snake states in graphene nanoribbons
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Emergence of bound states in ballistic magnetotransport of graphene antidots
• A Transfer Matrix Approach to Electron Transport in Graphene through Arbitrary Electric and Magnetic Potential Barriers
• Boosting energy levels in graphene magnetic quantum dots through magnetic flux and inhomogeneous gap
• Quantum Hall effect in three-dimensional graphene
• Transport through dynamic pseudo-gauge fields and snake states in a Corbino geometry
• Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices
• Theory of ballistic quantum transport in presence of localized defects
• Time-dependent transport in Graphene Mach-Zender Interferometers
• Optical Snake States in Photonic Graphene
• Current distribution in magnetically confined 2DEG: semiclassical and quantum mechanical treatment
• Anisotropic transport properties in prismatic topological insulator nanowires
• Magnetically modulated superconductor-graphene-superconductor (SGS) Josephson junctions and their tunability
• A note on degeneracy of excited energy levels in massless Dirac fermions