Negative-curvature spacetime solutions for graphene
Antonio Gallerati
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.
Topics & Concepts
Massless particleGraphenePhysicsParametrization (atmospheric modeling)Dirac (video compression format)Constant (computer programming)Charge (physics)SpacetimeSpace (punctuation)Quantum mechanicsCondensed matter physicsClassical mechanicsElectronic structureGauge (firearms)Density functional theoryTheoretical physicsFine-structure constantParameter spaceCharge densityCharge carrierHybrid functionalQuantum electrodynamicsExact solutions in general relativitySample (material)Conical surfaceObservableDirac equationGraphene research and applicationsTopological Materials and Phenomena2D Materials and Applications