Edge Effects in Finite Elongated Graphene Nanoribbons

Abstract

We analyze the relevance of finite-size effects to the electronic structure of long graphene nanoribbons using a divide and conquer density functional approach. We find that for hydrogen terminated graphene nanoribbons most of the physical features appearing in the density of states of an infinite graphene nanoribbon are recovered at a length of 40 nm. Nevertheless, even for the longest systems considered (72 nm long) pronounced edge effects appear in the vicinity of the Fermi energy. The weight of these edge states scales inversely with the length of the ribbon and they are expected to become negligible only at ribbons lengths of the order of micrometers. Our results indicate that careful consideration of finite-size and edge effects should be applied when designing new nanoelectronic devices based on graphene nanoribbons. These conclusions are expected to hold for other one-dimensional systems such as carbon nanotubes, conducting polymers, and DNA molecules.

4 pages, 4 figures

References in corpus (11)

• Electric Field Effect in Atomically Thin Carbon Films
• Energy Band Gap Engineering of Graphene Nanoribbons
• Energy Gaps in Graphene Nanoribbons
• Half-Metallic Graphene Nanoribbons
• Room-Temperature Quantum Hall Effect in Graphene
• Magnetism in graphene nano-islands
• Peculiar Width Dependence of the Electronic Property of Carbon Nanoribbons
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Edge state on hydrogen-terminated graphite edges investigated by scanning tunneling microscopy
• Quantum dots in graphene
• First principles study of magnetism in nanographenes

Cited by in corpus (17)

• Chemical functionalization of graphene with defects
• Vacancy induced magnetism in graphene and graphene ribbons
• Electronic transport properties of graphene nanoribbons
• Hidden multiferroic order in graphene zigzag ribbons
• Spintronic Properties of Zigzag-Edged Triangular Graphene Flakes
• Electron transport through honeycomb lattice ribbons with armchair edges
• Band Gap of Atomically Precise Graphene Nanoribbons as a Function of Ribbon Length and Termination
• Band bending and zero-conductance resonances controlled by edge electric fields in zigzag silicene nanoribbons
• On the junction physics of Schottky contact of (10, 10) MX2 (MoS2, WS2) nanotube and (10, 10) carbon nanotube (CNT): an atomistic study
• Controllable spin filtering and half metallicity in ${\beta }_{12}$-borophene nanoribbons
• Edge states of zigzag bilayer graphite nanoribbons
• Nitrogen Doped Graphene Quantum Dots as Possible Substrates to Stabilize Planar Conformer of Au 20 Over its Tetrahedral Conformer: A Systematic DFT Study
• Origin of multiple band gap values in single width nanoribbons
• Schematic model for induced fission in a configuration-interaction approach
• Anisotropic resistivity of the monolayer graphene in the trigonal warping and connected Fermi curve regimes
• Prefect spin filtering and spin inverting using a MoS2 quantum dot
• Effects of zigzag edge states on the thermoelectric properties of finite graphene nanoribbons