Decay behavior of localized states at reconstructed armchair graphene edges

Abstract

Density functional theory calculations are used to investigate the electronic structures of localized states at reconstructed armchair graphene edges. We consider graphene nanoribbons with two different edge types and obtain the energy band structures and charge densities of the edge states. By examining the imaginary part of the wavevector in the forbidden energy region, we reveal the decay behavior of the wavefunctions in graphene. The complex band structures of graphene in the armchair and zigzag directions are presented in both tight-binding and first-principles frameworks.

7 pages, 7 figures

References in corpus (4)

• Electric Field Effect in Atomically Thin Carbon Films
• Energy Gaps in Graphene Nanoribbons
• Half-Metallic Graphene Nanoribbons
• Self-passivating edge reconstructions of graphene

Cited by in corpus (8)

• Of Bulk and Boundaries: Generalized Transfer Matrices for Tight-Binding Models
• Topologically confined states at corrugations of gated bilayer graphene
• Localized electron states near the armchair edge of graphene
• Effect of edge reconstruction and electron-electron interactions on quantum transport in graphene nanoribbons
• Complex band structure and electronic transmission
• Efficient and Scalable Calculation of Complex Band Structure using Sakurai-Sugiura Method
• Edge-functionalization of armchair graphene nanoribbons with pentagonal-hexagonal edge structures
• First-principles study of metal-graphene edge contact for ballistic Josephson junction