Gauge fields and curvature in graphene

The low energy excitations of graphene can be described by a massless Dirac equation in two spacial dimensions. Curved graphene is proposed to be described by coupling the Dirac equation to the corresponding curved space. This covariant formalism gives rise to an effective hamiltonian with various e...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 129; no. 1; p. 012001
Main Authors Vozmediano, María A H, Juan, Fernando de, Cortijo, Alberto
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.10.2008
Subjects
Curvature
Dirac equation
Graphene
Physics
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Summary:The low energy excitations of graphene can be described by a massless Dirac equation in two spacial dimensions. Curved graphene is proposed to be described by coupling the Dirac equation to the corresponding curved space. This covariant formalism gives rise to an effective hamiltonian with various extra terms. Some of them can be put in direct correspondence with more standard tight binding or elasticity models while others are more difficult to grasp in standard condensed matter approaches. We discuss this issue, propose models for singular and regular curvature and describe the physical consequences of the various proposals.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/129/1/012001