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

TL;DR

This paper employs a Green function approach to accurately calculate the local density of states in a graphitic nanocone, highlighting the importance of higher-order approximations influenced by spin-orbit interaction.

Contribution

It introduces a Green function method combined with numerical calculations to improve the accuracy of local density of states estimation in nanostructures.

Findings

Second order approximation is insufficient for accurate results.

Green function approach effectively models the local density of states.

Higher-order calculations are necessary for precise modeling.

Abstract

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.