Spin-dependent Scattering by a Potential Barrier on a Nanotube
arXiv:1011.3144 · doi:10.1088/0953-8984/22/50/505304
Abstract
The electron spin effects on the surface of a nanotube have been considered through the spin-orbit interaction (SOI), arising from the electron confinement on the surface of the nanotube. This is of the same nature as the Rashba-Bychkov SOI at a semiconductor heterojunction. We estimate the effect of disorder within a potential barrier on the transmission probability. Using a continuum model, we obtained analytic expressions for the spin-split energy bands for electrons on the surface of nanotubes in the presence of SOI. First we calculate analytically the scattering amplitudes from a potential barrier located around the axis of the nanotube into spin-dependent states. The effect of disorder on the scattering process is included phenomenologically and induces a reduction in the transition probability. We analyzed the relative role of SOI and disorder on the transmission probability which depends on the angular and linear momentum of the incoming particle, and its spin orientation. We demonstrated that in the presence of disorder perfect transmission may not be achieved for finite barrier heights.
16 pages, 15 figures
References in corpus (7)
- Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
- Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
- On A Proper Definition of Spin Current
- Evanescent states in 2D electron systems with spin-orbit interaction and spin-dependent transmission through a barrier
- Equilibrium edge spin currents in two-dimensional electron systems with spin-orbit interaction
- Rashba spin-orbit coupling and spin precession in carbon nanotubes
- Spin polarization of electron current through a potential barrier in two-dimensional structures with spin-orbit interaction