On the possible induced charge on a graphitic nanocone at finite temperature

TL;DR

This paper derives an analytical expression for the induced charge at finite temperature on graphitic nanocones, modeled as relativistic fermionic systems with topological defects, revealing their unusual electronic properties.

Contribution

It presents a novel theoretical framework for calculating the induced charge on graphitic nanocones considering finite temperature effects.

Findings

Analytical formula for induced charge at finite temperature

Topological defects influence electronic properties of nanocones

Unusual properties of relativistic fermions in conical geometries

Abstract

Electronic excitations in a graphitic monolayer (graphene) in the long-wavelength approximation are characterized by the linear dispersion law, representing a unique example of the really two-dimensional "ultrarelativistic" fermionic system which in the presence of topological defects possesses rather unusual properties. A disclination that rolls up a graphitic sheet into a nanocone is described by a pointlike pseudomagnetic vortex at the apex of the cone, and the flux of the vortex is related to the deficit angle of the conical surface. A general theory of planar relativistic fermionic systems in the singular vortex background is employed, and we derive the analytical expression for the charge which is induced at finite temperature on some graphitic nanocones.