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Abstract
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We compute the optical conductivity and polarization for an out-of-plane deformation in
graphene nanostructure using a theoretical approach based on Dirac equation solutions on
curved 2 + 1 dimensional space-time, where the space part is considered to correspond to the
Beltrami pseudosphere which belongs to the family of surfaces with negative constant Gaussian
curvature. We found that different parameters of deformation along one direction translate into
an enhancement of the optical conductivity peaks and polarization magnitude in the far-infrared
frequencies. This allows for a very high degree of polarization with a single layer graphene and
opens up a potential prospect of employing graphene layer as efficient polarizers. Therefore the
experimental predictions related to the electronic configuration of the corresponding
graphene-like sample may be explicitly worked out.
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