Negative-curvature spacetime solutions for graphene
High Energy Physics - Theory
2021-01-27 v1 Mesoscale and Nanoscale Physics
Materials Science
High Energy Physics - Phenomenology
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2101.03010,
title = {Negative-curvature spacetime solutions for graphene},
author = {Antonio Gallerati},
journal= {arXiv preprint arXiv:2101.03010},
year = {2021}
}
Comments
20 pages, 4 figures