Effects of topological defects and local curvature on the electronic properties of planar graphene
arXiv:cond-mat/0612374 · doi:10.1016/j.nuclphysb.2006.10.031 10.1016/j.nuclphysb.2008.09.006
Abstract
A formalism is proposed to study the electronic and transport properties of graphene sheets with corrugations as the one recently synthesized. The formalism is based on coupling the Dirac equation that models the low energy electronic excitations of clean flat graphene samples to a curved space. A cosmic string analogy allows to treat an arbitrary number of topological defects located at arbitrary positions on the graphene plane. The usual defects that will always be present in any graphene sample as pentagon-heptagon pairs and Stone-Wales defects are studied as an example. The local density of states around the defects acquires characteristic modulations that could be observed in scanning tunnel and transmission electron microscopy.
Nucl. Phys. B in (2006) in press
References in corpus (13)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Induced Magnetic Ordering by Proton Irradiation in Graphite
- Disorder Induced Localized States in Graphene
- Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
- The Electronic Spectrum of Fullerenes from the Dirac Equation
- Unconventional magnetism in all-carbon nanofoam
- Electron-electron interactions in graphene sheets
- Unconventional quasiparticle lifetime in graphite
- Disorder Effects in Two-Dimensional d-wave Superconductors
- Topological Phases in Graphitic Cones
- Disorder and interaction effects in two dimensional graphene sheets
- Vacuum Fluctuations of a massless spin-1/2 field around multiple cosmic strings
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- On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
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- Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces
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