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 solutions for graphene / Gallerati, Antonio. - In: JOURNAL OF PHYSICS. CONDENSED MATTER. - ISSN 0953-8984. - 33:13(2021), p. 135501. [10.1088/1361-648X/abd9a2]

Negative-curvature spacetime solutions for graphene

Gallerati, Antonio
2021

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2867772