Boundary conditions and Green function approach of the spin-orbit interaction in the graphitic nanocone

The boundary effects affecting the Hamiltonian for the nanocone with curvatureinduced spin orbit coupling were considered and the corresponding electronic structure was calculated. These boundary effects include the spin orbit coupling, the electron mass acquisition and the Coulomb interaction. Different numbers of the pentagonal defects in the tip were considered. The Green function approach into the second order was used for getting more precise results in the case of the spin orbit coupling.