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

Graphene and other nanostructures belong to the center of interest of today's physics research. The local density of states of the graphitic nanocone influenced by the spin-orbit interaction was calculated. Numerical calculations and the Green function approach were used to solve this problem. It was proven in the second case that the second order pproximation is not sufficient for this purpose.