Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Negative-Curvature Spacetime Solutions for Graphene

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

How to cite: Gallerati, A. Negative-Curvature Spacetime Solutions for Graphene. Preprints 2020, 2020110041 (doi: 10.20944/preprints202011.0041.v1). Gallerati, A. Negative-Curvature Spacetime Solutions for Graphene. Preprints 2020, 2020110041 (doi: 10.20944/preprints202011.0041.v1).

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.

Subject Areas

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

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