Electronic transport in bent carbon nanotubes
arXiv:2302.01395 · doi:10.1103/PhysRevB.107.195424
Abstract
We study the electronic transport through uniformly bent carbon nanotubes. For this purpose, we describe the nanotube with the tight-binding model and calculate the local current flow by employing non-equilibrium Green's functions (NEGF) in the Keldysh formalism. In addition, we describe the low-energy excitations using an effective Dirac equation in curved space with a strain-induced pseudo-magnetic field which can be solved analytically for the torus geometry in terms of the Mathieu functions. We obtain a perfect quantitative agreement with the NEGF results. For nanotubes with an armchair edge, already a weak bending of 1% substantially changes the electronic properties. Depending on the valley, the current of the zero mode flows either on the outer or the inner side of the torus and, therefore, can be used as a valley splitter. In contrast, the zigzag nanotubes are largely unaffected by the bending. Our findings are of importance for nanoelectronic applications of carbon nanotubes and open new possibilities for valleytronics.
arXiv comment13 pages, 9 figures
References in corpus (55)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- A tight-binding approach to uniaxial strain in graphene
- Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
- Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
- Gauge fields in graphene
- Band-structure topologies of graphene: spin-orbit coupling effects from first principles
- Nonlinear damping in mechanical resonators based on graphene and carbon nanotubes
- Effects of Strain on Electronic Properties of Graphene
- Graphene: new bridge between condensed matter physics and quantum electrodynamics
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Quantum transport in carbon nanotubes
- Conductance of Distorted Carbon Nanotubes
- Electrical and Mechanical Properties of Twisted Carbon Nanotubes
- Symmetry-based approach to electron-phonon interactions in graphene
- The recursive Green's function method for graphene
- Space dependent Fermi velocity in strained graphene
- Strained graphene: tight-binding and density functional calculations
- Charge inhomogeneities due to smooth ripples in graphene sheets
- Graphene Nanobubbles as Valley Filters and Beamsplitters
- Buckling of Carbon Nanotubes: A State of the Art Review
- Band gaps of primary metallic carbon nanotubes
- Wave packet dynamics and valley filter in strained graphene
- Curvature, hybridization, and STM images of carbon nanotubes
- Curvature-enhanced spin-orbit coupling in a carbon nanotube
- Spin-orbit-induced strong coupling of a single spin to a nanomechanical resonator
- Carbon nanotubes in electric and magnetic fields
- Current splitting and valley polarization in elastically deformed graphene
- Graphene wormholes: A condensed matter illustration of Dirac fermions in curved space
- Current flow paths in deformed graphene: from quantum transport to classical trajectories in curved space
- Electronic materials with nanoscale curved geometries
- Strained fold assisted transport in graphene systems
- Nano-engineered non-uniform strain in graphene
- Synthetic electric fields and phonon damping in carbon nanotubes and graphene
- Lattice-corrected strain-induced vector potentials in graphene
- Strain controlled valley filtering in multi-terminal graphene structures
- The interplay between real and pseudo magnetic field in graphene with strain
- Gaussian deformations in graphene ribbons: flowers and confinement
- Pseudo-magnetic field in curved graphene
- Local versus extended deformed graphene geometries for valley filtering
- Quantum Field Theory in Graphene
- Patched Green's function techniques for two dimensional systems: Electronic behaviour of bubbles and perforations in graphene
- Localization and circulating currents in curved graphene devices
- Negative-curvature spacetime solutions for graphene
- Controlling edge states of zigzag carbon nanotubes by the Aharonov-Bohm flux
- Magnetoconductance, Quantum Hall Effect, and Coulomb Blockade in Topological Insulator Nanocones
- Electronic and optical trends in carbon nanotubes under pure bending
- Enhanced asymmetric valley scattering by scalar fields in non-uniform out-of-plane deformations in graphene
- Magnetic field induced localization in carbon nanotubes
- Pseudo-magnetic field distribution and pseudo-Landau levels in suspended graphene flakes
- Graphene nanodrums as valleytronic devices
- Quantum interference in deformed carbon nanotube waveguides
- Influence of defect-induced deformations on electron transport in carbon nanotubes
- Spin-valley dynamics of electrically driven ambipolar carbon-nanotube quantum dots
- Creating arbitrary quantum vibrational states in a carbon nanotube