Gauge fields and curvature in graphene

Details Gauge fields and curvature in graphene Gauge fields and curvature in graphene

2008-07-24

arxiv.org/abs/0807.3909v1

Journal of Physics: Conference Series 129 (2008) 012001

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1088/1742-6596/129/1/012001

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.

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