Curvature-induced anisotropic spin-orbit splitting in carbon nanotubes

Abstract

We have theoretically explored the spin-orbit interaction in carbon nanotubes. We have found that, besides the dependence on chirality and diameter, the effects of spin-orbit coupling are anisotropic: spin splitting is larger for the higher valence or the lower electron band depending on the specific tube. Different tube behaviors can be grouped in three families, according to the so called chiral index. Curvature-induced changes in the orbital hybridization have a crucial role, and they are shown to be family-dependent. Our results explain recent experiments without invoking external fields.

References in corpus (9)

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• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Electric Field Control of Spin Transport
• Electron-hole symmetry in a semiconducting carbon nanotube quantum dot
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• Electrically Tunable Spin Polarization in a Carbon-Nanotube Spin Diode
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Cited by in corpus (43)

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• Bends In Nanotubes Allow Electric Spin Control and Coupling
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• Spin Orbit Coupling in Graphene Induced by Heavy Adatoms with Electrons in the Outer-Shell $p$ Orbitals
• Spin relaxation due to deflection coupling in nanotube quantum dots
• Spin-orbit interaction in chiral carbon nanotubes probed in pulsed magnetic fields
• Helicoidal Fields and Spin Polarized Currents in CNT-DNA Hybrids
• Majorana and parafermion corner states from two coupled sheets of bilayer graphene
• Signatures of spin-orbit interaction in transport properties of finite carbon nanotubes in a parallel magnetic field
• Spin-Orbit Effects in Carbon-Nanotube Double Quantum Dots
• Angular momentum and topology in semiconducting single-wall carbon nanotubes
• Spin orbit in curved graphene ribbons
• Topological insulating phases in mono and bilayer graphene
• Intrinsic spin-orbit interactions in flat and curved graphene nanoribbons
• Inter-valley scattering induced by Coulomb interaction and disorder in carbon-nanotube quantum dots
• Rashba splitting of Cooper pairs
• Josephson current in carbon nanotubes with spin-orbit interaction
• Valley coupling in finite-length metallic single-wall carbon nanotubes
• Enhanced Spin-Flip Scattering by Surface Roughness in WS${}_2$ and MoS${}_2$ Armchair Nanoribbons
• Topology and zero energy edge states in carbon nanotubes with superconducting pairing
• Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes
• Spin filtering and entanglement detection due to spin-orbit interaction in carbon nanotube cross-junctions
• Cooperative phenomenon in a rippled graphene: Chiral spin guide
• Spin-polarized currents in corrugated graphene nanoribbons
• Spin-orbit effects in armchair carbon nanotubes: analytical results
• All-electrical production of spin-polarized currents in carbon nanotubes: Rashba spin-orbit interaction
• Universality of moiré physics in collapsed chiral carbon nanotubes
• Kramers polarization in strongly correlated carbon nanotube quantum dots
• Mechanically induced spin resonance in a carbon nanotube
• Interplay between symmetry and spin-orbit coupling in graphene nanoribbons
• Spin Relaxation at Graphene Nanoribbons in the presence of Substrate Surface Roughness
• Rashba spin-splitting of single electrons and Cooper pairs
• Spin-orbit interaction in bent carbon nanotubes: resonant spin transitions
• Electron spin relaxation in carbon nanotubes
• Kondo Phase Transitions of Magnetic Impurities in Carbon Nanotubes
• Creating arbitrary quantum vibrational states in a carbon nanotube
• Spin-orbit concept of open-shell systems
• Spin-orbit coupling and the static polarizability of single-wall carbon nanotubes
• Coupling of shells in a carbon nanotube quantum dot
• Curvature-induced valley-dependent spin-orbit interaction
• Band Structure and Topological Properties of Graphene in a Superlattice Spin Exchange Field