Topology in single-wall carbon nanotube of zigzag and armchair type

Rin Okuyama, Wataru Izumida, Mikio Eto

研究成果: Conference article査読

3 被引用数 (Scopus)


Single-wall carbon nanotubes can be one-dimensional (1D) topological insulators except for armchair nanotubes. The electronic states are characterized by a non-zero topological invariant, winding number, which is related to the number of 0D edge states via the bulk-edge correspondence. In the present study, we theoretically examine zigzag and armchair nanotubes to elucidate the emergence and absence of edge states. The effective 1D lattice model is employed in order to describe the fine structures due to the finite curvature of tube surface and spin-orbit interaction. We show that the lattice model for a zigzag nanotube is equivalent to the Su-Schrieffer-Heeger model, by which the formation of edge states is explained. An armchair nanotube is described by a ladder model, on the other hand, which does not host any edge states owing to the σh symmetry.

ジャーナルJournal of Physics: Conference Series
出版ステータスPublished - 2018 4月 19
イベント28th International Conference on Low Temperature Physics, LT 2018 - Gothenburg, Sweden
継続期間: 2017 8月 92017 8月 16

ASJC Scopus subject areas

  • 物理学および天文学(全般)


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