Interplay between snake and quantum edge states in a graphene Hall bar with a pn-junction

Abstract

The magneto- and Hall resistance of a locally gated cross shaped graphene Hall bar is calculated. The edge of the top gate is placed diagonally across the center of the Hall cross. Four-probe resistance is calculated using the Landauer-Büttiker formalism, while the transmission coefficients are obtained using the non-equilibrium Green's function approach. The interplay between transport due to edge channels and snake states is investigated. When two edge channels are occupied we predict oscillations in the Hall and the bend resistance as function of the magnetic field which are a consequence of quantum interference between the occupied snake states.

References in corpus (14)

• 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
• Ultrahigh electron mobility in suspended graphene
• Chiral tunneling and the Klein paradox in graphene
• Kwant: a software package for quantum transport
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Gate-controlled Guiding of Electrons in Graphene
• Snake States in Graphene p-n Junctions
• Semiclassical magnetotransport in graphene n-p junctions
• Spectroscopy of snake states using a graphene Hall bar
• Magnetotransport along a boundary: From coherent electron focusing to edge channel transport
• Graphene Hall bar with an asymmetric pn-junction
• Bilayer graphene Hall bar with a pn-junction

Cited by in corpus (15)

• Conductance oscillations induced by ballistic snake states in a graphene heterojunction
• Co-existence of classical snake states and Aharanov-Bohm oscillations along graphene p-n junctions
• Giant valley-isospin conductance oscillations in ballistic graphene
• Imaging snake orbits at graphene n-p junctions
• Lorentz force effects for graphene Aharonov-Bohm interferometers
• Switchable valley filter based on a graphene $p$-$n$ junction in a magnetic field
• Edge magnetotransport in graphene: A combined analytical and numerical study
• Understanding magnetic focusing in graphene $p$-$n$ junctions through quantum modeling
• Aharonov-Bohm conductance oscillations and current equilibration in local n - p junctions in graphene
• Graphene $n$-$p$ junctions in the Quantum Hall regime: numerical study of incoherent scattering effects
• Magnetic field mediated conductance oscillation in graphene p-n junctions
• Spin inversion in fluorinated graphene n-p junction
• Interplay of filling fraction and coherence in symmetry broken graphene p-n junction
• Persistent currents in topological and trivial confinement in silicene
• Time-dependent transport in Graphene Mach-Zender Interferometers