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29 March 2024
 
  » arxiv » 1310.2319

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Tailoring Graphene Properties with Curvature: geometric phases and optical conductivity
A. J. Chaves ; T. Frederico ; O. Oliveira ; W. de Paula ; M. C. Santos ;
Date 9 Oct 2013
AbstractThe geometric language to describe electronic properties of graphene is used. In-plane and out-of-plane displacements of graphene are formulated as curvature and the corresponding Dirac equation derived for a general geometry. An analytical solution of the Dirac equation in a curved space for a general deformation along one spatial direction is derived. For this class of geometries, it is shown that curvature induces an extra phase in the electron wave function. This can be explored to produce interference devices of the Aharonov-Bohm type. An idealised example is given. For periodic deformations, the quantisation rule for the energy is found from the phase structure and the optical conductivity for curved graphene calculated. Different examples of periodic deformations along one direction shows an enhancement of the optical conductivity peaks in the region of the far and mid infrared frequencies for periodicities ~100 nm. The width and position of the peaks can be changed by dialling the parameters of the deformation profiles. The enhancement of the optical conductivity is due to intraband transitions and the translational invariance breaking in the geometrically deformed background.
Source arXiv, 1310.2319
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