Band-selective filter in a zigzag graphene nanoribbon

Jun Nakabayashi*, Daisuke Yamamoto, Susumu Kurihara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

119 Citations (Scopus)


Electric transport of a zigzag graphene nanoribbon through a steplike potential and a barrier potential is investigated by using the recursive Green's function method. In the case of the steplike potential, we demonstrate numerically that scattering processes obey a selection rule for the band indices when the number of zigzag chains is even; the electrons belonging to the "even" ("odd") bands are scattered only into the even (odd) bands so that the parity of the wave functions is preserved. In the case of the barrier potential, by tuning the barrier height to be an appropriate value, we show that it can work as the "band-selective filter", which transmits electrons selectively with respect to the indices of the bands to which the incident electrons belong. Finally, we suggest that this selection rule can be observed in the conductance by applying two barrier potentials.

Original languageEnglish
Article number066803
JournalPhysical Review Letters
Issue number6
Publication statusPublished - 2009 Feb 10

ASJC Scopus subject areas

  • General Physics and Astronomy


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