Electronic Highways in Bilayer Graphene

Abstract

Bilayer graphene with an interlayer potential difference has an energy gap and, when the potential difference varies spatially, topologically protected one-dimensional states localized along the difference's zero-lines. When disorder is absent, electronic travel directions along zero-line trajectories are fixed by valley Hall properties. Using the Landauer-Büttiker formula and the non-equilibrium Green's function technique we demonstrate numerically that collisions between electrons traveling in opposite directions, due to either disorder or changes in path direction, are strongly suppressed. We find that extremely long mean free paths of the order of hundreds of microns can be expected in relatively clean samples. This finding suggests the possibility of designing low power nanoscale electronic devices in which transport paths are controlled by gates which alter the inter-layer potential landscape.

8 pages, 5 figures

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Cited by in corpus (112)

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• Topological Phases in Two-Dimensional Materials: A Brief Review
• Electronic properties of graphene-based bilayer systems
• Valley Chern Numbers and Boundary Modes in Gapped Bilayer Graphene
• Valley-Polarized Quantum Anomalous-Hall Effects in Silicene
• Photonic crystals for nano-light in moiré graphene superlattices
• Topological Sound
• Topologically Protected Helical States in Minimally Twisted Bilayer Graphene
• Gate-controlled topological conducting channels in bilayer graphene
• Tunable Acoustic Valley-Hall Edge States in Reconfigurable Phononic Elastic Waveguides
• Pseudospin-valley coupled edge states in a photonic topological insulator
• A valley valve and electron beam splitter
• Helical networks in twisted bilayer graphene under interlayer bias
• Valleytronics in merging Dirac cones: All-electric-controlled valley filter, valve and universal reversible logic gate
• Valley-Layer Coupling: A New Design Principle for Valleytronics
• Observation of Acoustic Valley Vortex States and Valley-Chirality Locked Beam Splitting
• Helical Network Model for Twisted Bilayer Graphene
• Gate defined zero- and one-dimensional confinement in bilayer graphene
• Valley kink states and topological channel intersections in substrate-integrated photonic circuitry
• Transport Properties of Graphene Nanoroads in Boron-Nitride Sheets
• Current partition at topological zero-line intersections
• Theory and Experimental Investigation of the Quantum Valley Hall Effect
• Gapped Topological Kink States and Topological Corner States in Graphene
• Experimental evidence of robust acoustic valley Hall edge states in a non-resonant topological elastic waveguide
• Plasmon reflections by topological electronic boundaries in bilayer graphene
• Topological Dirac states beyond $\pi$ orbitals for silicene on SiC(0001) surface
• Helical States in Curved Bilayer Graphene
• Active Valley-topological Plasmonic Crystal in Metagate-tuned Graphene
• Manipulation and Characterization of the Valley Polarized Topological Kink States in Graphene Based Interferometers
• Quantum Spin-Valley Hall Kink States: From Concept to Materials Design
• Topological Valley Hall Edge State Lasing
• Coupled Wire description of the Correlated Physics in Twisted Bilayer Graphene
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Graphene under spatially varying external potentials: Landau levels, magnetotransport, and topological modes
• The valley filter efficiency of monolayer graphene and bilayer graphene line defect model
• Competing Ordered States in Bilayer Graphene
• Observation of boundary induced chiral anomaly bulk states and their transport properties
• Gate tuning from exciton superfluid to quantum anomalous Hall in van der Waals heterobilayer
• Tracking valley topology with synthetic Weyl paths
• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• High-Temperature Quantum Valley Hall Effect with Quantized Resistance and a Topological Switch
• A Topology-Controlled Photonic Cavity Based on the Near-Conservation of the Valley Degree of Freedom
• Spontaneous Layer-Pseudospin Domain Walls in Bilayer Graphene
• Recovery of massless Dirac fermions at charge neutrality in strongly interacting twisted bilayer graphene with disorder
• Hybrid topological guiding mechanisms for photonic crystal fibers
• Guiding Robust Valley-dependent Edge States by Surface Acoustic Waves
• Gate-induced Dirac cones in multilayer graphenes
• A Non-Hermitian Moiré Valley Filter
• Current partition at zero-line intersection of quantum anomalous Hall topologies
• Zero-line modes at stacking faulted domain walls in multilayer graphene
• Gate tunable current partition in graphene based topological zero lines
• Metallic Network of Topological Domain Walls
• The role of geometry and topological defects in the 1D zero-line modes of graphene
• Long-lived domain wall plasmons in gapped bilayer graphene
• Experimental observations of topologically guided water waves within non-hexagonal structures
• Perfect valley filter based on topological phase in disordered $\mathrm{Sb}$ Monolayer Heterostructure
• Electron interaction, charging and screening in grain boundaries in graphene
• Unbalanced edge modes and topological phase transition in gated trilayer graphene
• Dual-gated graphene devices for near-field nano-imaging
• Topological Zero-Line Modes in Folded Bilayer Graphene
• Quantum Hall effect in gapped graphene heterojunctions
• Transmission spectra and valley processing of graphene and carbon nanotube superlattices with inter-valley coupling
• Graphene: Kinks, Superlattices, Landau levels, and Magnetotransport
• Quantum Valley Hall effect without Berry curvature
• Tunable three-way valley Hall energy-splitter: venturing beyond graphene-like structures
• Valley-Current Splitter in Minimally Twisted Bilayer Graphene
• Ballistic electron channels including weakly protected topological states in delaminated bilayer graphene
• Controlling electron propagation on a topological insulator surface via proximity interactions
• Topological valley transport at the curved boundary of a folded bilayer graphene
• Topological valleytronics: Brought to light
• Quantum spin Hall effect in rutile-based oxide multilayers
• Analytical solutions of the two-dimensional Dirac equation for a topological channel intersection
• Layer Zero-Line Modes in Antiferromagnetic Topological Insulators
• Phosphorene pnp junctions as perfect electron waveguides
• Valley-Selective Topological Ordered States in Irradiated Bilayer Graphene
• Transport Induced Dimer State from Topological Corner States
• Interplay between topological protected valley and quantum Hall edge transport
• First-principles study on the electronic and transport properties of periodically nitrogen-doped graphene and carbon nanotube superlattices
• Valley-polarized domain wall magnons in 2D ferromagnetic bilayers
• Ferroelectric valley valves with graphene/MoTe${}_2$ van der Waals heterostructures
• Quantum Valley and Sub-valley Hall Effect in the Large Angle Twisted Bilayer Graphene
• The role of spin-orbit coupling in topologically protected interface states in Dirac materials
• Critical Behavior of Four-Terminal Conductance of Bilayer Graphene Domain Walls
• Scattering of topological kink-antikink states in bilayer graphene structures
• Topological phase transition from trigonal warping in van der Waals multilayers
• Current flow in biased bilayer graphene: the role of sublattices
• Majorana zero modes by engineering topological kink states in two dimensional electron gas
• Topologically protected wave packets and quantum rings in silicene
• Aharonov-Bohm oscillations of four-probe resistance in topological quantum rings in silicene and bilayer graphene
• Non-chiral one-dimensional states propagating inside AB/BA domain walls in bilayer graphene
• Magnetic field mediated conductance oscillation in graphene p-n junctions
• Quantum valley Hall states in low-buckled counterparts of graphene bilayer
• Chiral properties of topological-state loops
• Valley selecting current partition at zero-line mode of quantum anomalous Hall topologies
• Physical Origin of Current Partition at a Topological Trifurcation
• Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators
• Imaging supermoiré relaxation in helical trilayer graphene
• A Quantized Interband Topological Index in Two-Dimensional Systems
• Persistent currents in topological and trivial confinement in silicene
• Spin and valley polarized one-way Klein tunneling in photonic topological insulators
• The emergence of interface states in graphene/transition metal dichalcogenides heterostructure with lateral interface
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• Collective resonances near zero energy induced by a point defect in bilayer graphene
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• Controlling the Interferometers of Zero-Line Modes in Graphene by Pseudomagnetic field
• Local Optical Conductivity of Bilayer Graphene with Kink Potential
• Persistent current and orbital magnetization along a valley-contrasting junction in bilayer graphene in a magnetic field
• Gate-tunable chiral phonons in low-buckled group-IVA monolayers
• Dual Universality and Unconventional Phase Diagram of a Clean 2D Superconductor with Tunable Disorders
• Semiconductor Meta-Graphene and Valleytronics