Negative-Curvature Spacetime Solutions for Graphene

Antonio Gallerati

doi:10.20944/preprints202011.0041.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 30 October 2020 / Approved: 2 November 2020 / Online: 2 November 2020 (13:24:36 CET)

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.

negative-curvature spacetime; field theories in lower dimensions; graphene theoretical physics

Physical Sciences, Acoustics

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Negative-Curvature Spacetime Solutions for Graphene

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