Conductance quantization and snake states in graphene magnetic waveguides

Abstract

We consider electron waveguides (quantum wires) in graphene created by suitable inhomogeneous magnetic fields. The properties of uni-directional snake states are discussed. For a certain magnetic field profile, two spatially separated counter-propagating snake states are formed, leading to conductance quantization insensitive to backscattering by impurities or irregularities of the magnetic field.

5 pages, 4 figures, final version accepted as Rapid Comm. in PRB

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
• Energy Band Gap Engineering of Graphene Nanoribbons
• The structure of suspended graphene sheets
• Electronic Properties of Disordered Two-Dimensional Carbon
• Electronic States of Graphene Nanoribbons
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Conductance quantization in mesoscopic graphene
• Dirac Fermion Confinement in Graphene
• Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes
• Peculiar Nature of Snake States in Graphene
• Effect of edge transmission and elastic scattering on the resistance of magnetic barriers
• Conductance quantization in graphene nanoribbons: Adiabatic approximation
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Transport in two-dimensional electron gas narrow channel with a magnetic field gradient
• Confined magnetic guiding orbit states
• Non-homogeneous magnetic field induced magnetic edge states and their transport in a quantum wire

Cited by in corpus (69)

• Andreev reflection and Klein tunneling in graphene
• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Multiple magnetic barriers in graphene
• Barrier transmission of Dirac-like pseudospin-one particles
• Ballistic miniband conduction in a graphene superlattice
• Peculiar Nature of Snake States in Graphene
• Magnetic Kronig-Penney model for Dirac electrons in single-layer graphene
• Electron optics with magnetic vector potential barriers in graphene
• Conductance oscillations induced by ballistic snake states in a graphene heterojunction
• Snake States in Graphene p-n Junctions
• Strain Modulated Superlattices in Graphene
• Wavevector-dependent spin filtering and spin transport through magnetic barriers in graphene
• Electron transport and Goos-Hanchen shift in graphene with electric and magnetic barriers: optical analogy and band structure
• Magnetic edge states in graphene in nonuniform magnetic fields
• Gauge fields and interferometry in folded graphene
• Zero Landau level in folded graphene nanoribbons
• Bound states in inhomogeneous magnetic field in graphene: a semiclassical approach
• Quasi-bound states of Schrodinger and Dirac electrons in magnetic quantum dot
• Magnetic superlattice and finite-energy Dirac points in graphene
• Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
• Current resonances in graphene with time dependent potential barriers
• Tunable electronic transport and unidirectional quantum wires in graphene subjected to electric and magnetic fields
• Snake states and their symmetries in graphene
• Scattering of Dirac electrons by circular mass barriers: valley filter and resonant scattering
• All-strain based valley filter in graphene nanoribbons using snake states
• Exact solutions for a Dirac electron in an exponentially decaying magnetic field
• Magnetic field barriers in graphene: an analytically solvable model
• Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction
• Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices
• Transport, refraction and interface arcs in junctions of Weyl semimetals
• Ballistic transport of graphene pnp junctions with embedded local gates
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
• Aharonov-Bohm interferometer based on n-p junction in graphene nanoribbons
• Splitting of conductance resonance through a magnetic quantum dot in graphene
• Magnetic scattering of Dirac fermions in topological insulators and graphene
• Lorentz force effects for graphene Aharonov-Bohm interferometers
• Chiral interface states in graphene $p$-$n$ junctions
• Imaging snake orbits at graphene n-p junctions
• Snake states in graphene quantum dots in the presence of a p-n junction
• Valley isospin of interface states in a graphene $pn$ junction in the quantum Hall regime
• Inhibiting Klein tunneling in graphene p-n junction without an external magnetic field
• Reverse strain-induced snake states in graphene nanoribbons
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Dirac fermions in a power-law-correlated random vector potential
• Switchable valley filter based on a graphene $p$-$n$ junction in a magnetic field
• Conductance oscillations in Chern insulator junctions: valley-isospin dependence and Aharonov-Bohm effects
• Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
• Dirac Fermions in Inhomogeneous Magnetic Field
• Quantum Hall effect in three-dimensional graphene
• Lieb lattices and pseudospin-1 dynamics under barrier- and well-like electrostatic interactions
• Dirac electrons in the presence of matrix potential barrier: application to graphene and topological insulators
• Transport in Selectively Magnetically Doped Topological Insulator Wires
• Transport through dynamic pseudo-gauge fields and snake states in a Corbino geometry
• Edge States and Quantum Hall Effect in Graphene under a Modulated Magnetic Field
• Spin-orbit interaction and snake states in graphene $p$-$n$ junctions
• Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices
• Stepped Graphene-based Aharonov-Bohm Interferometers
• Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
• Theory of ballistic quantum transport in presence of localized defects
• Two-dimensional Dirac fermion in presence of an asymmetric vector potential
• Quantum transport through pairs of edge states of opposite chirality at electric and magnetic boundaries
• Band functions in the presence of magnetic steps
• Optical Snake States in Photonic Graphene
• One-dimensional scattering of fermions in double Dirac delta potentials
• Bound states for massive Dirac fermions in graphene in a magnetic step field
• Helical liquid of snake states
• Analytic solution for Gauged Dirac-Weyl equation in $(2+1)$-dimensions
• Transmission and Goos-Hänchen like Shifts through a Graphene Double Barrier in an Inhomogeneous Magnetic Field
• Generation, manipulation and detection of snake state trajectories of a neutral atom in a ring-cavity