Next-nearest-neighbor Tight-binding Model of Plasmons in Graphene

TL;DR

This paper extends the tight-binding model of graphene to include next-nearest-neighbor interactions, analyzing their impact on plasmon excitation spectra through numerical dielectric function calculations.

Contribution

It introduces a next-nearest-neighbor tight-binding model for graphene and compares its plasmon spectrum with the traditional nearest-neighbor model.

Findings

Differences observed in plasmon dispersion between models

Next-nearest-neighbor coupling affects plasmon spectrum

Enhanced understanding of graphene plasmon behavior

Abstract

In this paper we investigate the influence of the next-nearest-neighbor coupling of tight-binding model of graphene on the spectrum of plasmon excitations. The nearest-neighbor tight-binding model was previously used to calculate plasmon spectrum in the next paper [1]. We expand the previous results of the paper by the next-nearest-neighbor tight-binding model. Both methods are based on the numerical calculation of the dielectric function of graphene and loss function. Here we compare plasmon spectrum of the next-nearest and nearest-neighbor tight-binding models and find differences between plasmon dispersion of two models.