Electronic properties of single and double napped carbon nanocones

Abstract

In this paper we study the electronic properties of carbon nanocones with one and two nappes, with pentagonal and heptagonal defects in their lattices. We use the continuum model, which is based on a Dirac-like Hamiltonian with the topological defects described by localized non-Abelian gauge field fluxes. We develop a geometrical approach that can describe the two nappes of the double cone surface simultaneously, by extending the radial coordinate to the complete set of real numbers. We show that, for some combinations of different nanocones, forming the double conical surface, the local density of states near the apex of the cone does not vanish at the Fermi energy and presents a strong dependence on the angular momentum. We also obtain the energy spectrum for finite-sized nanocones and verify that it depends on the choice of topological defect on the surface, which suggests that a double nanocone can be used to control the electronic transport in carbon-based electronic devices.

Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect

“…In addition, the study of noninertial effects in relativistic quantum systems also gained relevance and focus of investigations in recent years [40][41][42][43][44]. In particular, the DE in a rotating frame has several interesting applications, for instance, is applied in physical problems involving spin currents [45,46], Sagnac and Hall effects [47,48], chiral symmetry [49], external magnetic fields [50,51], fullerene molecules [52][53][54], nanotubes and carbon nanocons [55,56], and so on.…”

Topological and noninertial effects in an Aharonov–Bohm ring

“…Now, in the high-energy regime, noninertial effects also gained focus of investigations in some quantum systems described by relativistic wave equations [51][52][53][54]. For instance, considering the Dirac equation (DE) in a rotating frame, this equation is applied in problems involving spin currents [55,56], Dirac oscillator and cosmic strings [59], fullerene molecules [61][62][63], nanotubes and carbon nanocons [64,65], Sagnac and Hall effects [66,67], and external magnetic fields [57,58].…”