Graphene properties from curved space Dirac equation

Abstract

A mathematical formulation for particle states and electronic properties of a curved graphene sheet is provided, exploiting a massless Dirac spectrum description for charge carriers living in a curved bidimensional background. In particular, we study how the new description affects the characteristics of the sample, writing an appropriate conductivity Kubo formula for the modified background. Finally, we provide a theoretical analysis for the particular case of a cylindrical graphene sample.

23 pages, 5 figures

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Cited by in corpus (16)

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• Negative-curvature spacetime solutions for graphene
• Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string
• $\mathcal{N}$-Extended $D=4$ Supergravity, Unconventional SUSY and Graphene
• Dirac Hamiltonian in a supersymmetric framework
• Graphene, Dirac equation and analogue gravity
• Interaction between macroscopic quantum systems and gravity
• Position-dependent mass Dirac equation and local Fermi velocity
• Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
• Superconductors and gravity
• Superconductor in static gravitational, electric and magnetic fields with vortex lattice
• Dirac equation in curved spacetime: the role of local Fermi velocity
• So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation
• Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity
• Inverse design of strained graphene surfaces for electron control
• Dirac Equation with Space Contributions Embedded in a Quantum-Corrected Gravitational Field