Spin-orbit interaction in the graphitic nanocone

The Hamiltonian for nanocones with curvature induced spin orbit coupling have been derived. The effect of curvature induced spin orbit coupling on the electronic properties of graphitic nanocones is considered. Energy spectra for different numbers of the pentagonal defects in the tip of the nanocones are calculated. It was shown that the spin orbit interaction considerably affects the local density of states of the graphitic nanocone. This influence depends on the number of defects present at the tip of the nanocone. This property could be applied in atomic force microscopy for the construction of the probing tip.Comment: 8 pages, 4 figures, 1 tabl

The Chiral Massive Fermions in the Graphitic Wormhole

The graphitic wormhole is in the focus of physical interest because of its interesting properties which can remotely resemble the concept of the space wormhole. Apart from the usual applications of the carbon nanostructures like the electronic computer devices, it seems to be a good material for the accumulation of the electric charge and different kinds of molecules, e.g., the hydrogen molecules, which enables using this material for the storage of the new kinds of fuel. Here, we present the geometric and electronic structure and calculate the zero modes of this material and its possibly significant derivate, the perturbed wormhole. Next, the influence of some additional factors on the electronic structure like the changes of the Fermi velocity close to the wormhole bridge as well as the spin-orbit interaction will be investigated. On this basis, we predict the massive chiral fermions in the connecting wormhole nanotube

Electronic Structure of Disclinated Graphene in an Uniform Magnetic Field

The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal defects in the carbon graphene plane is investigated. 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 an SO(2) gauge vortex and corresponding metric 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.Comment: keywords: graphene, heptagonal defect, elasticity, carbon nanohorns, 13 page