Midgap states and charge inhomogeneities in corrugated graphene

Abstract

We study the changes induced by the effective gauge field due to ripples on the low energy electronic structure of graphene. We show that zero energy Landau levels will form, associated to the smooth deformation of the graphene layer, when the height corrugation, $h$, and the length of the ripple, $l$, are such that $h^2/(la)\gtrsim 1$, where $a$ is the lattice constant. The existence of localized levels gives rise to a large compressibility at zero energy, and to the enhancement of instabilities arising from electron-electron interactions including electronic phase separation. The combined effect of the ripples and an external magnetic field breaks the valley symmetry of graphene leading to the possibility of valley selection.

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Cited by in corpus (56)

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• Ripple Texturing of Suspended Graphene Atomic Membranes
• STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
• Temperature dependent transport in suspended graphene
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Structure and electronic transport in graphene wrinkles
• Electron scattering on microscopic corrugations in graphene
• The Rare Two-Dimensional Materials with Dirac Cones
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Charge Transport in Disordered Graphene-Based Low Dimensional Materials
• Gauge field induced by ripples in graphene
• Colloquium: Graphene spectroscopy
• Pseudomagnetic fields and ballistic transport in a suspended graphene sheet
• Ground-state of graphene in the presence of random charged impurities
• Landau Levels and Quantum Hall Effect in Graphene Superlattices
• Gaps tunable by electrostatic gates in strained graphene
• Nanoscale Strain Engineering of Giant Pseudo-Magnetic Fields, Valley Polarization and Topological Channels in Graphene
• Midgap states in corrugated graphene: Ab-initio calculations and effective field theory
• Effective medium theory for disordered two-dimensional graphene
• Dislocations in graphene
• Superlattice Based on Graphene on a Strip Substrate
• Evidence for Superlattice Dirac Points and Space-dependent Fermi Velocity in Corrugated Graphene Monolayer
• Zero-energy states in corrugated bilayer graphene
• Defect-Dependent Corrugation in Graphene
• Transport through evanescent waves in ballistic graphene quantum dots
• Quantum effects in graphene monolayers: Path-integral simulations
• Pedestrian index theorem a la Aharonov-Casher for bulk threshold modes in corrugated multilayer graphene
• Acoustically Induced Giant Synthetic Hall Voltages in Graphene
• Gauge fields and curvature in graphene
• Feature-Rich Electronic Properties in Graphene Ripples
• Influence of the Constant Electric Field on the Mutual Rectification of the Electromagnetic Waves in Graphene Superlattice
• Negative-curvature spacetime solutions for graphene
• Using Weyl symmetry to make Graphene a real lab for fundamental physics
• Gap opening in topological-defect lattices in graphene
• Magnetic field-tunable valley-contrasting pseudomagnetic confinement in graphene
• Electron dynamics in strained graphene
• Theory of the electronic and transport properties of graphene under a periodic electric or magnetic field
• A Comparative Study of Substrates Disorder on Mobility in the Graphene Nanoribbon: Charged Impurity, Surface Optical Phonon, Surface Roughness
• Origami-controlled strain engineering of tunable flat bands and correlated states in folded graphene
• Strained graphene Hall bar
• Magic continuum in twisted bilayer square lattice with staggered flux
• Defects induce phase transition from dynamic to static rippling in graphene
• Landau level splitting due to graphene superlattices
• Strain induced quantum Hall effect of excitons in graphene
• Realization of a vortex in the Kekule texture of molecular Graphene, at a Y junction where 3 domains meet
• Realizing One-dimensional Metallic States in Graphene via Periodically Coupled Zeroth Pseudo-Landau Levels
• Magnetic Phases in Periodically Rippled Graphene
• Electron interactions in strain-induced zero-energy flat band in twisted bilayer graphene near the magic angle
• Induced fractional valley number in graphene with topological defects
• Valley focusing effect in a rippled graphene superlattice
• Quantum entanglement between excitons in two-dimensional materials
• Disorder and Interactions in Graphene and other Quantum Systems
• Generation of Half-Integer Harmonics and Efficient THz-to-Visible Frequency Conversion in Strained Graphene
• Sublattice polarization and filamentary superconductivity in strained graphene