Spin-orbit interaction in the graphitic nanocone

Abstract

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.

Electronic Properties of Carbon Nanostructures

“…In [1], a numerical method is introduced in detail which helps to find the solution of this system. Here, this method is outlined in Appendix.…”

“…In this way, the parallel influence of both the Coulomb interaction and SOC is considered [3]. To solve the resulting equation, we use the analogy of the numerical method used in [1] -this analogy is presented in [3]. From the calculated results, LDOS is calculated using Eq.…”

Green Function Approach to the Calculation of the Local Density of States in the Graphitic Nanocone

“…where δ is the parameter which characterizes the strength of SOI, γ, γ are the nearest-neighbor and the next-nearestneighbor hopping integrals, respectively, A y is the intrinsic term of the SOI. The other parameters are described in [9]. We are looking for the solution in the factorized form which is common for all the structures with the radial symmetry:…”

Phosphorene and Graphene Nanoribbons with Vacancies in Magnetic Field

“…The hexagonal planar structure (graphene) can be modified by placing the pentagonal or the heptagonal defects. In this way, fullerenes, nanocones, wormholes, nanotoroids, nanotubes [3,4] etc. can be created.…”

“…Their chemical structure is analogous to the structure of the graphene materials, but the atoms are 3 sp -hybridized. So, due to spacial orientation of the chemical bonds, the phosphorene layers are not smooth, they have the semi-planar structure (puckered honeycomb lattice).…”