Eur. Phys. J. B 84, 255-264 (2011)
https://doi.org/10.1140/epjb/e2011-20384-6

Regular Article

Electronic structure of disclinated graphene in a uniform magnetic field

¹ Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Brehova 7, 11000 Prague, Czech Republic
² Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia
³ Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 4704353 Kosice, Slovak Republic

^a e-mail: pincak@saske.sk

Received: 19 May 2011
Received in final form: 15 August 2011
Published online: 10 November 2011

Abstract

The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal defects in the carbon graphene plane is investigated for the case of hyperboloidal geometry. Using a continuum gauge field-theory model, the local density of states around the Fermi energy is calculated for both cases. In this model, the disclination is represented by a SO(2) gauge vortex and the corresponding metrics follows from the elasticity properties of the graphene membrane. To enhance the interval of energies, a self-consistent perturbation scheme is used. The Landau states are investigated and compared with the predicted values. A discussion on the influence of the Zeeman effect is included.