Carrier Statistics and Quantum Capacitance Models of Graphene Nanoscroll

M Khaledian,Razali Ismail,M T Ahmadi,M Saeidmanesh,E Akbari

doi:10.1155/2014/762143

M Khaledian, Razali Ismail + Show 3 more

Open Access

https://doi.org/10.1155/2014/762143

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Abstract

As a new category of quasi-one-dimensional materials, graphene nanoscroll (GNS) has captivated the researchers recently because of its exceptional electronic properties like having large carrier mobility. In addition, it is admitted that the scrolled configurations for graphene indicate larger stability concerning the energy, as opposed to their counterpart planar configurations like nanoribbon, nanotube, and bilayer graphene. By utilizing a novel analytical approach, the current paper introduces modeling of the density of state (DOS), carrier concentration, and quantum capacitance for graphene nanoscroll (suggested schematic perfect scroll-like Archimedes spiral). The DOS model was derived at first, while it was later applied to compute the carrier concentration and quantum capacitance model. Furthermore, the carrier concentration and quantum capacitance were modeled for both degenerate and nondegenerate regimes, along with examining the effect of structural parameters and chirality number on the density of state and carrier concentration. Latterly, the temperature effect on the quantum capacitance was studied too.

Highlights

It is well agreed that the graphene based materials do reveal better electrical transmission
Where m∗ provided by (4) can be considered as the efficient electron mass in the ZGNS, (t = 3.0 ev) is the closest neighbour C–C overlap energy, Ec denotes the energy of the conductance band derived as Ec = 0.5t + (3L2)/(2n2), L shows the length of the spiral in graphene nanoscroll (GNS), and n stands for the chirality, while h signifies the reduced Planck’s constant or Dirac constant
Numerous analytical models have been recommended in the current paper for the GNSs electronic properties, such as the state density and the carrier concentration as well as the quantum capacitance

Summary

Introduction

It is well agreed that the graphene based materials do reveal better electrical transmission. The current research presents modeling of the states density, the carrier concentration, and quantum capacitance on the basis of the parabolic energy dispersion approximation for the ZGNS.

Results

Conclusion