A cosmological model for corrugated graphene sheets |
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Authors: | A Cortijo M AH Vozmediano |
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Institution: | (1) Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, 28049 Madrid, Spain;(2) Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés, 28913 Madrid, Spain |
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Abstract: | Defects play a key role in the electronic structure of graphene layers flat or curved.
Topological defects in which an hexagon is replaced by an n-sided polygon generate
long range interactions that make them different from vacancies or other potential defects.
In this work we review previous models for topological defects in graphene. 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. |
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Keywords: | |
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