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

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.

8 pages, minor changes, journal version (based on a talk given on QFEXT07, Leipzig, 2007)

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• Two Dimensional Atomic Crystals
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Electronic properties of graphene with a topological defect
• A cosmological model for corrugated graphene sheets

Cited by in corpus (9)

• Kaluza-Klein description of geometric phases in graphene
• The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
• Finite temperature fermionic condensate in a conical space with a circular boundary and magnetic flux
• The Aharonov-Bohm effect in conical space
• Casimir effect for fermion condensate in conical rings
• Diffraction and quasiclassical limit of the Aharonov--Bohm effect
• Scattering theory and the Aharonov--Bohm effect in quasiclassical physics
• Finite temperature fermionic charge and current densities in conical space with a circular edge
• Electronic and optical properties of carbon nanodisks and nanocones