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

References in corpus (12)

• The structure of suspended graphene sheets
• Atomic Structure of Graphene on SiO2
• High-Resolution Scanning Tunneling Microscopy Imaging of Mesoscopic Graphene Sheets on an Insulating Surface
• On the roughness of single- and bi-layer graphene membranes
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Midgap states and charge inhomogeneities in corrugated graphene
• Symmetry-based approach to electron-phonon interactions in graphene
• Gauge field induced by ripples in graphene
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Dislocations in graphene
• Exchange induced charge inhomogeneities in rippled neutral graphene