Electronic properties of single and double napped carbon nanocones

Felipe Azevedo Gomes (), Valdir Barbosa Bezerra, Jonas Romero Fonseca de Lima and Fernando Jorge Sampaio Moraes
Additional contact information
Felipe Azevedo Gomes: Departamento de Física, CCEN, Universidade Federal da Paraíba
Valdir Barbosa Bezerra: Departamento de Física, CCEN, Universidade Federal da Paraíba
Jonas Romero Fonseca de Lima: Departamento de Física, Universidade Federal Rural de Pernambuco
Fernando Jorge Sampaio Moraes: Departamento de Física, CCEN, Universidade Federal da Paraíba

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 2, 1-11

Abstract: 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. Furthermore, we study the effects of an uniform magnetic field parallel to the cone axis on its electronic states. The Landau Levels are analytically obtained and a detailed analysis of the energy spectrum is done considering combinations of the relevant quantum numbers. We find highly degenerated energy modes, as in the planar case, and apical states dependent on the geometric parameters of the surface. Graphical abstract

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2019-90258-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:92:y:2019:i:2:d:10.1140_epjb_e2019-90258-0

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2019-90258-0

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().