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

TL;DR

This paper investigates how boundary effects influence the electronic structure of graphitic nanocones with spin-orbit coupling, using a Green function approach to improve accuracy across various defect configurations.

Contribution

It introduces a detailed analysis of boundary effects on nanocone Hamiltonians and applies a second-order Green function method for enhanced precision.

Findings

Boundary effects significantly alter the electronic structure.

The Green function approach yields more accurate results.

Different defect numbers impact the spin-orbit interaction.

Abstract

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.