Negative-curvature spacetime solutions for graphene

Abstract

We provide a detailed analysis of the electronic properties of graphene-like materials with charge carriers living on a curved substrate, focusing in particular on constant negative-curvature spacetime. An explicit parametrization is also worked out in the remarkable case of Beltrami geometry, with an analytic solution for the pseudoparticles modes living on the curved bidimensional surface. We will then exploit the correspondent massless Dirac description, to determine how it affects the sample local density of states.

20 pages, 4 figures

References in corpus (23)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Colloquium: The transport properties of graphene: An introduction
• Strong suppression of weak (anti)localization in graphene
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• The Rare Two-Dimensional Materials with Dirac Cones
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Midgap states and charge inhomogeneities in corrugated graphene
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Electronic properties of curved graphene sheets
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Dislocations in graphene
• Gauge fields and curvature in graphene
• Using Weyl symmetry to make Graphene a real lab for fundamental physics
• $\mathcal{N}$-Extended $D=4$ Supergravity, Unconventional SUSY and Graphene
• Bound States in Gapped Graphene with Impurities : Effective Low-Energy Description of Short-Range Interactions
• Josephson AC effect induced by weak gravitational field
• Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field
• Note on Hawking-Unruh effects in graphene

Cited by in corpus (3)

• Graphene, Dirac equation and analogue gravity
• Interaction between macroscopic quantum systems and gravity
• Superconductors and gravity