Malysheva L, Onipko A. Spectrum of pi electrons in graphene as a macromolecule.
PHYSICAL REVIEW LETTERS 2008;
100:186806. [PMID:
18518406 DOI:
10.1103/physrevlett.100.186806]
[Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/27/2008] [Indexed: 05/26/2023]
Abstract
We report the exact solution of the spectral problem for a graphene sheet framed by two armchair- and two zigzag-shaped boundaries. The solution is found for the pi electron Hamiltonian and gives, in particular, a closed analytic expression of edge-state energies in graphene. It is shown that the lower symmetry of graphene, in comparison with C6h of 2D graphite, has a profound effect on the graphene band structure. This and other results obtained have far-reaching implications for the understanding of graphene electronics. Some of them are briefly discussed.
Collapse