Pseudospin for Raman D Band in Armchair Graphene Nanoribbons

Abstract

By analytically constructing the matrix elements of an electron-phonon interaction for the $D$ band in the Raman spectra of armchair graphene nanoribbons, we show that pseudospin and momentum conservation result in (i) a $D$ band consisting of two components, (ii) a $D$ band Raman intensity that is enhanced only when the polarizations of the incident and scattered light are parallel to the armchair edge, and (iii) the $D$ band softening/hardening behavior caused by the Kohn anomaly effect is correlated with that of the $G$ band. Several experiments are mentioned that are relevant to these results. It is also suggested that pseudospin is independent of the boundary condition for the phonon mode, while momentum conservation depends on it.

25 pages, 5 figures

References in corpus (11)

• The Raman Fingerprint of Graphene
• Energy Gaps in Graphene Nanoribbons
• Raman Spectroscopy of Graphene Edges
• Edge chirality determination of graphene by Raman spectroscopy
• Theory of optical transitions in graphene nanoribbons
• Pseudospin rotation and valley mixing in electron scattering at graphene edges
• Determination of Edge Purity in Bilayer Graphene Using micro-Raman Spectroscopy
• Identifying the Orientation of Edge of Graphene Using G Band Raman Spectra
• Electron Wave Function in Armchair Graphene Nanoribbons
• Berry's Phase for Standing Wave Near Graphene Edge
• Polarization Dependence of Raman Spectra in Strained Graphene

Cited by in corpus (2)

• The origin of Raman D Band: Bonding and Antibonding Orbitals in Graphene
• Topological Raman Band in Carbon Nanohorn