Electron Wave Function in Armchair Graphene Nanoribbons
arXiv:1010.3817 · doi:10.1143/JPSJ.80.044710
Abstract
By using analytical solution of a tight-binding model for armchair nanoribbons, it is confirmed that the solution represents the standing wave formed by intervalley scattering and that pseudospin is invariant under the scattering. The phase space of armchair nanoribbon which includes a single Dirac singularity is specified. By examining the effects of boundary perturbations on the wave function, we suggest that the existance of a strong boundary potential is inconsistent with the observation in a recent scanning tunneling microscopy. Some of the possible electron-density superstructure patterns near a step armchair edge located on top of graphite are presented. It is demonstrated that a selection rule for the G band in Raman spectroscopy can be most easily reproduced with the analytical solution.
7 pages, 4 figures
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Cited by in corpus (8)
- Theory of optical transitions in graphene nanoribbons
- The origin of Raman D Band: Bonding and Antibonding Orbitals in Graphene
- Pseudospin rotation and valley mixing in electron scattering at graphene edges
- Indirect RKKY interaction in armchair graphene nanoribbons
- Splitting of conductance resonance through a magnetic quantum dot in graphene
- Pseudospin for Raman D Band in Armchair Graphene Nanoribbons
- Observation of topological valley Hall edge states in honeycomb lattices of superconducting microwave resonators
- Transport in armchair graphene nanoribbons and in ordinary waveguides