Electrical conductivity and resonant states of doped graphene considering next-nearest neighbor interaction

TL;DR

This paper investigates how including next-nearest neighbor interactions in a tight-binding model affects the electronic spectrum and conductivity of doped graphene, revealing complex variations and implications for understanding minimal conductivity.

Contribution

It introduces the impact of next-nearest neighbor interactions on graphene's conductivity and resonance states, providing new insights into impurity effects and electronic properties.

Findings

Conductivity varies widely with NNN interactions.

Resonance peaks and Fermi energy shifts are not proportional.

Estimated mean free path and relaxation time due to impurities.

Abstract

The next-nearest neighbor interaction (NNN) is included in a tight-binding calculation of the electronic spectrum and conductivity of doped graphene. As a result, we observe a wide variation of the conductivity behavior, since the Fermi energy and the resonance peak are not shifted by the same amount. Such effect can have a profound effect in the idea of explaining the minimal conductivity of graphene as a consequence of impurities or defects. Finally, we also estimate the mean free path and relaxation time due to resonant impurity scattering.