Gauge fields and curvature in graphene

Abstract

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.

Proceedings of the International Conference on Theoretical Physics: Dubna-Nano2008 to be published online in Journal of Physics: Conference series

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Cited by in corpus (24)

• Space dependent Fermi velocity in strained graphene
• The Hawking-Unruh phenomenon on graphene
• Generalizing the Fermi velocity of strained graphene from uniform to nonuniform strain
• Dislocations and torsion in graphene and related systems
• Electronic Structure Theory of Strained Two-Dimensional Materials with Hexagonal Symmetry
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• Emergent Horava gravity in graphene
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• Negative-curvature spacetime solutions for graphene
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• Condensation of Lattice Defects and Melting Transitions in Quantum Hall phases
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• Vacuum currents in curved tubes
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