Optical conductivity of curved graphene

Abstract

We compute the optical conductivity for an out-of-plane deformation in graphene using an approach based on solutions of the Dirac equation in curved space. Different examples of periodic deformations along one direction translates into an enhancement of the optical conductivity peaks in the region of the far and mid infrared frequencies for periodicities $\sim 100$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. Furthemore, we derive an analytical solution of the Dirac equation in a curved space for a general deformation along one spatial direction. For this class of geometries, it is shown that curvature induces an extra phase in the electron wave function, which can also be explored to produce interference devices of the Aharonov-Bohm type.

References in corpus (19)

• The electronic properties of graphene
• The structure of suspended graphene sheets
• Making Sense of Non-Hermitian Hamiltonians
• Atomic Structure of Graphene on SiO2
• Ripple Texturing of Suspended Graphene Atomic Membranes
• Colloquium: The transport properties of graphene: An introduction
• Magneto-optical conductivity in Graphene
• High-Resolution Scanning Tunneling Microscopy Imaging of Mesoscopic Graphene Sheets on an Insulating Surface
• Midgap states and charge inhomogeneities in corrugated graphene
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Optical Properties of Strained Graphene
• Generalized effective hamiltonian for graphene under non-uniform strain
• Armchair graphene nanoribbons: PT-symmetry breaking and exceptional points without dissipation
• Hermiticity of the Dirac Hamiltonian in Curved Spacetime
• Currents and pseudomagnetic fields in strained graphene rings
• Vortex and gap generation in gauge models of graphene
• Nonlinear magnetization of graphene
• Dynamical gap generation in graphene nanoribbons: An effective relativistic field theoretical model
• Optical Dichroism by Nonlinear Excitations in Graphene Nanoribbons

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• Novel effects of strains in graphene and other two dimensional materials
• Revisiting the gauge fields of strained graphene
• Gauge fields in graphene with nonuniform elastic deformations: A quantum field theory approach
• Graphene, Dirac equation and analogue gravity
• Casimir interaction of strained graphene
• Shifted Landau levels in curved graphene sheets
• Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
• Quantum Field Theory Approach to the Optical Conductivity of Strained and Deformed Graphene
• Aspects of the polynomial affine model of gravity in three dimensions
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
• Tunable Dirac points and zero-energy modes in periodic curved graphene superlattices
• Two Dimensional Honeycomb Materials: random fields, dissipation and fluctuations