Localized states at zigzag edges of bilayer graphene

Abstract

We report the existence of zero energy surface states localized at zigzag edges of bilayer graphene. Working within the tight-binding approximation we derive the analytic solution for the wavefunctions of these peculiar surface states. It is shown that zero energy edge states in bilayer graphene can be divided into two families: (i) states living only on a single plane, equivalent to surface states in monolayer graphene; (ii) states with finite amplitude over the two layers, with an enhanced penetration into the bulk. The bulk and surface (edge) electronic structure of bilayer graphene nanoribbons is also studied, both in the absence and in the presence of a bias voltage between planes.

4 pages, 5 figures

References in corpus (6)

• Electric Field Effect in Atomically Thin Carbon Films
• Energy Band Gap Engineering of Graphene Nanoribbons
• Energy Gaps in Graphene Nanoribbons
• Half-Metallic Graphene Nanoribbons
• Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
• Stabilization mechanism of edge states in graphene

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• Valley-Hall Kink and Edge States in Multilayer Graphene
• Robustness of edge states in graphene quantum dots
• Energy gaps, magnetism, and electric field effects in bilayer graphene nanoribbons
• Inducing energy gaps in graphene monolayer and bilayer
• Edge State Magnetism of Single Layer Graphene Nanostructures
• Edge currents shunt the insulating bulk in gapped graphene
• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Transmission through a boundary between monolayer and bilayer graphene
• Electronic structure of triangular, hexagonal and round graphene flakes near the Fermi level
• Marginality of bulk-edge correspondence for single-valley Hamiltonians
• Electronic properties of the armchair graphene nanoribbon
• Suppression of conductance fluctuation in weakly disordered mesoscopic graphene samples near the charge neutral point
• Tunneling of Dirac electrons through spatial regions of finite mass
• Dirac electrons in graphene-based quantum wires and quantum dots
• The valley filter efficiency of monolayer graphene and bilayer graphene line defect model
• Edge effect on resistance scaling rules in graphene nanostructures
• Bilayer graphene: gap tunability and edge properties
• Gate-controlled conductance through bilayer graphene ribbons
• Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
• Gate-induced Dirac cones in multilayer graphenes
• Edge modes and non local conductance in graphene superlattices
• Zero-line modes at stacking faulted domain walls in multilayer graphene
• Localized States at Zigzag Edges of Multilayer Graphene and Graphite Steps
• Electronic conductance of twisted bilayer nanoribbon flakes
• Edge states of zigzag bilayer graphite nanoribbons
• Electronic shell and supershell structure in graphene flakes
• Chiral topological excitons in the monolayer transition metal dichalcogenides
• Valley current generation using biased bilayer graphene dots
• Isolated and hybrid bilayer graphene rings
• Noncollinear magnetism and half-metallicity in biased bilayer zigzag graphene nanoribbons
• Current flow in biased bilayer graphene: the role of sublattices
• Edge state in AB-stacked bilayer graphene and its correspondence with SSH ladder
• Clar's goblet on graphene: field modulated charge transfer in a hydrocarbon heterostructure
• Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators
• Giant Magnetoresistance in Bilayer Graphene Nanoflakes
• Energy symmetry and interlayer wave function ratio of tunneling electrons in partially overlapped graphene
• Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry