Numerical study of the lattice vacancy effects on the single-channel electron transport of graphite ribbons

Details Numerical study of the lattice vacancy effects on the single-channel electron transport of graphite ribbons Numerical study of the lattice vacancy effects on the single-channel electron transport of graphite ribbons

2002-10-31

arxiv.org/abs/cond-mat/0210687v1

J. Phys. Soc. Jpn. vol. 71, p.1 2500-2504 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1143/JPSJ.71.2500

Lattice vacancy effects on electrical conductance of nanographite ribbon are investigated by means of the Landauer approach using a tight binding model. In the low-energy regime ribbons with zigzag boundary provide a single conducting channel whose origin is connected with the presence of edge states. It is found that the chemical potential dependence of conductance strongly depends on the difference ($\Delta$) of the number of removed A and B sublattice sites. The large lattice vacancy with $\Delta\neq 0$ shows $2\Delta$ zero-conductance dips in the single-channel region, however, the large lattice vacancy with $\Delta=0$ has no dip structure in this region. The connection between this conductance rule and the Longuet-Higgins conjecture is also discussed.

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