オクヤマ リン   OKUYAMA RIN
  奥山 倫
   所属   明治大学  理工学部
   職種   助教
言語種別 英語
発行・発表の年月 2019/03
形態種別 学術雑誌
査読 査読あり
標題 Topological classification of the single-wall carbon nanotube
執筆形態 共著(筆頭者)
掲載誌名 Physical Review B
掲載区分国外
巻・号・頁 99,pp.115409
著者・共著者 Rin Okuyama, Wataru Izumida, and Mikio Eto
概要 The single-wall carbon nanotube (SWNT) can be a one-dimensional topological insulator, which is characterized by a Z-topological invariant, winding number. Using the analytical expression for the winding number, we classify the topology for all possible chiralities of SWNTs in the absence and presence of a magnetic field, which belongs to the topological categories of BDI and AIII, respectively. We find that the majority of SWNTs are nontrivial topological insulators in the absence of a magnetic field. In addition, the topological phase transition takes place when the band gap is closed by applying a magnetic field along the tube axis, in all the SWNTs except armchair nanotubes. The winding number determines the number of edge states localized at the tube ends by the bulk-edge correspondence, the proof of which is given for SWNTs in general. This enables the identification of the topology in experiments.
DOI 10.1103/PhysRevB.99.115409
researchmap用URL https://doi.org/10.1103/PhysRevB.99.115409