Carbon nanotubes in electric and magnetic fields

Abstract

We derive an effective low-energy theory for metallic (armchair and non-armchair) single-wall nanotubes in the presence of an electric field perpendicular to the nanotube axis, and in the presence of magnetic fields, taking into account spin-orbit interactions and screening effects on the basis of a microscopic tight binding model. The interplay between electric field and spin-orbit interaction allows us to tune armchair nanotubes into a helical conductor in both Dirac valleys. Metallic non-armchair nanotubes are gapped by the surface curvature, yet helical conduction modes can be restored in one of the valleys by a magnetic field along the nanotube axis. Furthermore, we discuss electric dipole spin resonance in carbon nanotubes, and find that the Rabi frequency shows a pronounced dependence on the momentum along the nanotube.

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• Cooper-Pair Injection into Quantum Spin Hall Insulators
• Permalloy-based carbon nanotube spin-valve
• Spin-polarized currents through interacting quantum wires with nonmagnetic leads
• Large oscillating non-local voltage in multi-terminal single wall carbon nanotube devices

Cited by in corpus (61)

• New directions in the pursuit of Majorana fermions in solid state systems
• Prospects for Spin-Based Quantum Computing
• Quantum transport in carbon nanotubes
• Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
• A valley-spin qubit in a carbon nanotube
• Spintronics in MoS_2 monolayer quantum wires
• Large spin-orbit coupling in carbon nanotubes
• Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Helical States in Curved Bilayer Graphene
• Entanglement detection from conductance measurements in carbon nanotube Cooper pair splitters
• Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Spectral properties of Luttinger liquids: A comparative analysis of regular, helical, and spiral Luttinger liquids
• Majorana fermions in carbon nanotubes
• Majorana and parafermion corner states from two coupled sheets of bilayer graphene
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• Angular momentum and topology in semiconducting single-wall carbon nanotubes
• Majorana quasiparticles in semiconducting carbon nanotubes
• Shaping electron wave functions in a carbon nanotube with a parallel magnetic field
• Strongly anisotropic spin response as a signature of the helical regime in Rashba nanowires
• Low-energy properties of fractional helical Luttinger liquids
• Hyperfine and spin-orbit coupling effects on decay of spin-valley states in a carbon nanotube
• All-electric qubit control in heavy hole quantum dots via non-Abelian geometric phases
• Topology and zero energy edge states in carbon nanotubes with superconducting pairing
• Tight-binding simulations of electrically driven spin-valley transitions in carbon nanotube quantum dots
• Spin filtering and entanglement detection due to spin-orbit interaction in carbon nanotube cross-junctions
• Topological transitions and fractional charges induced by strain and magnetic field in carbon nanotubes
• Microwave spectroscopy of a Cooper pair beam splitter
• Cooperative phenomenon in a rippled graphene: Chiral spin guide
• Electrically driven spin resonance in a bent disordered carbon nanotube
• All-electrical production of spin-polarized currents in carbon nanotubes: Rashba spin-orbit interaction
• Non-collinear spin-orbit magnetic fields in a carbon nanotube double quantum dot
• Physics of Arbitrary Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal
• Theory of electromechanical coupling in dynamical graphene
• Electronic transport in bent carbon nanotubes
• Anomalous magnetization of a carbon nanotube as an excitonic insulator
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• Spin-valley dynamics of electrically driven ambipolar carbon-nanotube quantum dots
• Kondo Phase Transitions of Magnetic Impurities in Carbon Nanotubes
• Two-electron n-p double quantum dots in carbon nanotubes
• Anisotropic super-spin at the end of a carbon nanotube
• Chirality-induced selectivity of angular momentum by orbital Edelstein effect in carbon nanotubes
• Relations between normal state nonreciprocal transport and the superconducting diode effect in the trivial and topological phases
• Spin-orbit coupling and the static polarizability of single-wall carbon nanotubes
• Electronic structure of (1e,1h) states of carbon nanotube quantum dots
• Acoustic phonons, spin-phonon coupling and spin relaxation via the lattice reorientation mechanism in hexagonal germanium nanowires
• Electron-photon coupling in Mesoscopic Quantum Electrodynamics
• Coupling of shells in a carbon nanotube quantum dot
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions
• Emergence of non-uniform strain induced exciton species in homo- and heterobilayer transition metal dichalcogenides