Topological phase transition in metallic single-wall carbon Nanotube

Rin Okuyama, Wataru Izumida, Mikio Eto

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The topological phase transition is theoretically studied in a metallic single-wall carbon nanotube (SWNT) by applying a magnetic field B parallel to the tube. The Z topological invariant, winding number, is changed discontinuously when a small band gap is closed at a critical value of B, which can be observed as a change in the number of edge states owing to the bulk-edge correspondence. This is confirmed by numerical calculations for finite SWNTs of ∼1 μm length, using a one-dimensional lattice model to effectively describe the mixing between σ and Π orbitals and spin-orbit interaction, which are relevant to the formation of the band gap in metallic SWNTs.

Original languageEnglish
Article number013702
JournalJournal of the Physical Society of Japan
Volume86
Issue number1
DOIs
Publication statusPublished - 15 Jan 2017

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