Dirac equation in curved spacetime: the role of local Fermi velocity

TL;DR

This paper investigates how charge carriers behave in curved Dirac materials considering local Fermi velocity variations, providing explicit models for cylindrical geometries and discussing their physical implications.

Contribution

It introduces a detailed parameterization of local Fermi velocity in curved Dirac materials, especially for cylindrical geometries, and explores related physical effects.

Findings

Explicit parameterization of local Fermi velocity in cylindrical geometries

Analysis of physical effects due to curvature and velocity variations

Discussion of observable properties in curved Dirac materials

Abstract

We study the motion of charge carriers in curved Dirac materials, in the presence of a local Fermi velocity. An explicit parameterization of the latter emerging quantity for a nanoscroll cylindrical geometry is also provided, together with a discussion of related physical effects and observable properties.