Helical States in Curved Bilayer Graphene

Abstract

We study spin effects of quantum wires formed in bilayer graphene by electrostatic confinement. With a proper choice of the confinement direction, we show that in the presence of magnetic field, spin-orbit interaction induced by curvature, and intervalley scattering, bound states emerge that are helical. The localization length of these helical states can be modulated by the gate voltage which enables the control of the tunnel coupling between two parallel wires. Allowing for proximity effect via an s-wave superconductor, we show that the helical modes give rise to Majorana fermions in bilayer graphene.

References in corpus (25)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• New directions in the pursuit of Majorana fermions in solid state systems
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Band-structure topologies of graphene: spin-orbit coupling effects from first principles
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Topological confinement in bilayer graphene
• Coulomb-driven broken-symmetry states in doubly gated suspended bilayer graphene
• Topological invariants for spin-orbit coupled superconductor nanowires
• Gate-controlled Guiding of Electrons in Graphene
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Composite Majorana Fermion Wavefunctions in Nanowires
• Electronic Highways in Bilayer Graphene
• Transition from fractional to Majorana fermions in Rashba nanowires
• Theory of spin-orbit coupling in bilayer graphene
• Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
• Carbon nanotubes in electric and magnetic fields
• Helical modes in carbon nanotubes generated by strong electric fields
• Chiral states in bilayer graphene: magnetic field dependence and gap opening
• Tunable Luttinger liquid physics in biased bilayer graphene
• Energy spectrum and Landau levels in bilayer graphene with spin-orbit interaction

Cited by in corpus (52)

• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
• Spintronics in MoS_2 monolayer quantum wires
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Majorana nanowires for topological quantum computation
• Parafermions in Interacting Nanowire Bundle
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Correlations between Majorana fermions through a superconductor
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Majorana Fermions in Ge/Si Hole Nanowires
• Quantum Spin Hall Effect in Strip of Stripes Model
• Spin-valley coupling in single-electron bilayer graphene quantum dots
• Fractional Charge and Spin States in Topological Insulator Constrictions
• Integer and Fractional Quantum Hall Effect in a Strip of Stripes
• Fractional Fermions with Non-Abelian Statistics
• Exact eigenvectors and eigenvalues of the finite Kitaev chain and its topological properties
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Topological phases in gated bilayer graphene: Effects of Rashba spin-orbit coupling and exchange field
• Topological Edge States and Fractional Quantum Hall Effect from Umklapp Scattering
• Helicoidal Graphene Nanoribbons: Chiraltronics
• Majorana and parafermion corner states from two coupled sheets of bilayer graphene
• Suppression of the overlap between Majorana fermions by orbital magnetic effects in semiconducting-superconducting nanowires
• Majorana Fermions in Honeycomb Lattices
• Topologically confined states at corrugations of gated bilayer graphene
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• Origami-based spintronics in graphene
• Chiral 1D Floquet topological insulators beyond rotating wave approximation
• Renormalization of anticrossings in interacting quantum wires with Rashba and Dresselhaus spin-orbit couplings
• Prevalence of trivial zero-energy sub-gap states in non-uniform helical spin chains on the surface of superconductors
• Topological Zero-Line Modes in Folded Bilayer Graphene
• Intrinsic and substrate induced spin-orbit interaction in chirally stacked trilayer graphene
• Formation of Majorana fermions in finite-size graphene strips
• Majorana bound states in germanium Josephson junctions via phase control
• Topological valley transport at the curved boundary of a folded bilayer graphene
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Physics of Arbitrary Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal
• Microwave detection of gliding Majorana zero modes in nanowires
• Conductance of fractional Luttinger liquids at finite temperatures
• Topological spin-singlet superconductors with underlying sublattice structure
• Majorana zero modes by engineering topological kink states in two dimensional electron gas
• Robust propagating in-gap modes due to spin-orbit domain walls in graphene
• Electrically controlled crossover between $2\pi$- and $4\pi$-Josephson effects through topologically-confined channels in silicene
• Valley selecting current partition at zero-line mode of quantum anomalous Hall topologies
• Transport in Magnetically Doped One-Dimensional Wires: Can the Helical Protection Emerge without the Global Helicity?
• The emergence of interface states in graphene/transition metal dichalcogenides heterostructure with lateral interface
• Controlling the Interferometers of Zero-Line Modes in Graphene by Pseudomagnetic field
• Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
• Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm
• Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity