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 (20)

• The electronic properties of graphene
• Control of graphene's properties by reversible hydrogenation
• Suspended Graphene: a bridge to the Dirac point
• Ripple Texturing of Suspended Graphene Atomic Membranes
• Temperature dependent transport in suspended graphene
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Electron scattering on microscopic corrugations in graphene
• 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
• 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
• Midgap states in corrugated graphene: Ab-initio calculations and effective field theory
• Effective medium theory for disordered two-dimensional graphene
• Dislocations in graphene
• Zero-energy states in corrugated bilayer graphene
• Transport through evanescent waves in ballistic graphene quantum dots
• Pedestrian index theorem a la Aharonov-Casher for bulk threshold modes in corrugated multilayer graphene
• Gauge fields and curvature in graphene