Berry's Phase and Absence of Back Scattering in Carbon Nanotubes

1998/08/15 by Tsuneya Ando, Takeshi Nakanishi, Riichiro Saito · 760 citations
Materials Science · Mathematics · Physics and Astronomy · #Carbon Nanotubes in Composites #Carbon nanotube #Condensed matter physics #Geometric phase #Geometry #Graphene research and applications #Graphite #Image warping #Materials science #Mathematics #Molecular physics #Nanotechnology #Phase (matter) #Physics #Quantum mechanics #Rotation (mathematics) #Scattering #Sign (mathematics) #Spin (aerodynamics) #Thermodynamics #Topological Materials and Phenomena

paper · doi:10.1143/jpsj.67.2857

published in Journal of the Physical Society of Japan 67(8), 2857-2862 (Physical Society of Japan)

openalex publication_date 1998/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The absence of back scattering in carbon nanotubes is shown to be ascribed to Berry's phase which corresponds to a sign change of the wave function under a spin rotation of a neutrino-like particle in a two-dimensional graphite. Effects of trigonal warping of the bands appearing in a higher order k · p approximation are shown to give rise to a small probability of back scattering.

Citations

• Impurity Scattering in Carbon Nanotubes – Absence of Back Scattering –

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