Spectrum of π electrons in graphene as an alternant macromolecule and its specific features in quantum conductance
Abstract
An exact description of π electrons based on the tight-binding model of graphene as an alternant, plane macromolecule is presented. The model molecule can contain an arbitrary number of benzene rings and has armchair- and zigzag-shaped edges. This suggests an instructive alternative to the most commonly used approach, where the reference is made to the honeycomb lattice periodic in its A and B sublattices. Several advantages of the macromolecule model are demonstrated. The newly derived analytical relations detail our understanding of π electron nature in achiral graphene ribbons and carbon tubes and classify these structures as quantum wires.
- Publication:
-
Physical Review B
- Pub Date:
- December 2008
- DOI:
- 10.1103/PhysRevB.78.245412
- arXiv:
- arXiv:0808.3933
- Bibcode:
- 2008PhRvB..78x5412O
- Keywords:
-
- 73.22.-f;
- Electronic structure of nanoscale materials: clusters nanoparticles nanotubes and nanocrystals;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Materials Science
- E-Print:
- 13 pages 8 figures, revised in line with referee's comments