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

1998/08/15 by Tsuneya Ando, Takeshi Nakanishi, Riichiro Saito · 15 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Graphene research and applications #Topological Materials and Phenomena

paper · doi:10.1143/jpsj.67.2857

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 –

Cited by

• Topological Insulator Materials
• Electronic and transport properties of nanotubes
• Classification of topological quantum matter with symmetries
• Nobel Lecture: Random walk to graphene
• Graphene: New bridge between condensed matter physics and quantum electrodynamics
• The electronic properties of graphene
• Epigraphene : epitaxial graphene on silicon carbide
• Electronic transport and the related anomalous effects in silicene-like hexagonal lattice
• Classification of topological insulators and superconductors in three spatial dimensions
• Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering
• Anomalous Hall effect in rhombohedral graphene
• Observation of angle-dependent transmission of Dirac electrons in graphene hetero junctions
• Evanescent-mode-assisted Klein tunneling in dual-gated bilayer graphene
• Effects of time‐reversal symmetric gauge fields on the groundstate properties of carbon nanotubes and tori
• Tunable Dot Platform for Controlling Electron Flow in Graphene

Related

• Impurity Scattering in Carbon Nanotubes – Absence of Back Scattering –
• Spin-orbit coupling in ballistic carbon nanotubes
• Berry phase effects on the transverse conductivity of Fermi surfaces and their detection via spin qubit noise magnetometry
• Berry-Phase Induced Dynamical Instability and Minimum Conductivity in Graphene
• Berry phase effects in magnetism