Electronic properties of curved graphene sheets

Abstract

A model is proposed to study the electronic structure of slightly curved graphene sheets with an arbitrary number of pentagon-heptagon pairs and Stone-Wales defects based on a cosmological analogy. The disorder induced by curvature produces characteristic patterns in the local density of states that can be observed in scanning tunnel and transmission electron microscopy.

Corrected version

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• Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that
• Magnetic moments in the presence of topological defects in graphene
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• Electronic Structure Theory of Strained Two-Dimensional Materials with Hexagonal Symmetry
• Extended gravitational decoupling in $2+1$ dimensional space--times
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• Confining massless Dirac particles in two-dimensional curved space
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• Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces
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• Curvatronics with bilayer graphene in an effective $4D$ spacetime
• Enhancing the Adhesion of Graphene to Polymer Substrates by Controlled Defect Formation
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• Graphene wormhole trapped by external magnetic field
• Minimal conductivity of rippled graphene with topological disorder
• Kibble-Zurek mechanism in curved elastic surface crystals
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• Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
• Optical conductivity of graphene in the presence of random lattice deformations
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• Dirac fermions in a spinning conical Gödel-type spacetime
• Floquet analysis of pulsed Dirac systems: A way to simulate rippled graphene
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Magnetic and geometric effects on the electronic transport of metallic nanotubes
• Geometry-induced smoothing of van Hove singularities in capped carbon nanotubes
• Effects of a uniform magnetic field on twisted graphene nanoribbons
• Graphene as a quantum surface with curvature-strain preserving dynamics
• Dirac fermions on a disclinated flexible surface
• Graphene shapes from quantum elasticity
• Inverse design of strained graphene surfaces for electron control
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• Zero energy states of Dirac equation in $(2+1)$-dimensional curved spacetime
• Electronic states in a bilayer graphene quantum ripple
• Structure and Growth in the Living Tissue and in Carbon Nanotubes
• Optomechanical analogy for a toy cosmology with a quantized scale factor