Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes

Abstract

A theory of the long wavelength low energy electronic structure of graphite-derived nanotubules is presented. The propagating $\pi$ electrons are described by wrapping a massless two dimensional Dirac Hamiltonian onto a curved surface. The effects of the tubule size, shape and symmetry are included through an effective vector potential which we derive for this model. The rich gap structure for all straight single wall cylindrical tubes is obtained analytically in this theory, and the effects of inhomogeneous shape deformations on nominally metallic armchair tubes are analyzed.

5 pages, 3 postscript figures

Cited by in corpus (256)

• The electronic properties of graphene
• Topological Photonics
• Topological Photonics
• Luttinger Liquid Behavior in Carbon Nanotubes
• High-Field Electrical Transport in Single-Wall Carbon Nanotubes
• Electric Field Effect Tuning of Electron-Phonon Coupling in Graphene
• Gauge fields in graphene
• Dirac materials
• Ab-initio structural, elastic, and vibrational properties of carbon nanotubes
• Quantum Hall Ferromagnetism in Graphene
• Tuning carbon nanotube bandgaps with strain
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Effective low-energy theory for correlated carbon nanotubes
• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Disorder, pseudospins, and backscattering in carbon nanotubes
• Bandgap Change of Carbon Nanotubes: Effect of Small Tensile and Torsional Strain
• Quantum transport in carbon nanotubes
• Electronic Density of States of Atomically Resolved Single-Walled Carbon Nanotubes: Van Hove Singularities and End States
• Weak antilocalization in epitaxial graphene: evidence for chiral electrons
• Conductance of Distorted Carbon Nanotubes
• Electrical and Mechanical Properties of Twisted Carbon Nanotubes
• Topological creation and destruction of edge states in photonic graphene
• Graphene as an electronic membrane
• Electric Polarization of Heteropolar Nanotubes as a Geometric Phase
• Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
• A systematic ab-initio study of curvature effects in carbon nanotubes
• Artificial gauge fields in materials and engineered systems
• Colloquium: Graphene spectroscopy
• Measuring electron orbital magnetic moments in carbon nanotubes
• Temperature Dependent Resistivity of Single Wall Carbon Nanotubes
• Spin splitting and even-odd effects in carbon nanotubes
• Electrical transport through carbon nanotube junctions created by mechanical manipulation
• The Ratio Problem in Single Carbon Nanotube Fluorescence Spectroscopy
• Terahertz Science and Technology of Carbon Nanomaterials
• Theory of strain in single-layer transition metal dichalcogenides
• Electron Interactions and Scaling Relations for Optical Excitations in Carbon Nanotubes
• Plasmonic Nature of the Terahertz Conductivity Peak in Single-Wall Carbon Nanotubes
• Fractional quantum conductance in carbon nanotubes
• Electronic Structure of Carbon Nanotube Ropes
• Metal-to-semiconductor transition in squashed armchair carbon nanotubes
• Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes
• Relaxation and Dephasing in a Two-electron 13C Nanotube Double Quantum Dot
• Pseudomagnetic fields for sound at the nanoscale
• Tuning the pseudospin polarization of graphene by a pseudo-magnetic field
• Band gaps of primary metallic carbon nanotubes
• Topological Phases in Graphitic Cones
• The Effect of Structural Distortions on the Electronic Structure of Carbon Nanotubes
• Subband population in a single-wall carbon nanotube diode
• Gauge field for edge state in graphene
• Midgap states in corrugated graphene: Ab-initio calculations and effective field theory
• Study of charge dynamics in transparent single-walled carbon nanotube films
• Electronic and optical properties of graphene nanoribbons in external fields
• Nuclear magnetism and electron order in interacting one-dimensional conductors
• Optical absorption and electron energy loss spectra of carbon and boron nitride nanotubes: a first principles approach
• Defect states emerging from a non-Hermitian flat band of photonic zero modes
• Curvature, hybridization, and STM images of carbon nanotubes
• Topological collective plasmons in bipartite chains of metallic nanoparticles
• Chirality effects in carbon nanotubes
• Curvature-enhanced spin-orbit coupling in a carbon nanotube
• Tuning Optical Conductivity of Large-Scale CVD Graphene by Strain Engineering
• Atomic resolution STM imaging of a twisted single-wall carbon nanotube
• Hydrostatic Pressure Effects on the Structural and Electronic Properties of Carbon Nanotubes
• Photogalvanic Effects in Heteropolar Nanotubes
• Electron fractionalization for two-dimensional Dirac fermions
• Order from Disorder in Graphene Quantum Hall Ferromagnet
• Transverse field effect in graphene ribbons
• Bose-Einstein condensation and Superfluidity of magnetoexcitons in Graphene
• Exciton-polariton condensates near the Dirac point in a triangular lattice
• Valley-isospin dependence of the quantum Hall effect in a graphene p-n junction
• NMR Evidence for Gapped Spin Excitations in Metallic Carbon Nanotubes
• Optical response of finite-length carbon nanotubes
• Localized and Delocalized Charge Transport in Single-Wall Carbon-Nanotube Mats
• Invariant expansion for the trigonal band structure of graphene
• Carbon nanotubes for coherent spintronic devices
• Stability and electronic properties of small BN nanotubes
• Parity-time symmetry in a flat band system
• Curvature-induced anisotropic spin-orbit splitting in carbon nanotubes
• Bias Dependence and Electrical Breakdown of Small Diameter Single-Walled Carbon Nanotubes
• Conductivity and Atomic Structure of Isolated Multiwalled Carbon Nanotubes
• Carbon Nanotubes Band Assignation, Topology, Bloch States and Selection Rules
• Coherent Control of Photocurrents in Graphene and Carbon Nanotubes
• Fundamental Optical Processes in Armchair Carbon Nanotubes
• Pseudomagnetic fields in graphene nanobubbles of constrained geometry: A molecular dynamics study
• Excitons in narrow-gap carbon nanotubes
• Narrow gap Luttinger liquid in Carbon nanotubes
• Spin relaxation due to deflection coupling in nanotube quantum dots
• Strain effects on the spin-orbit induced band structure splittings in monolayer MoS2 and graphene
• Structural and Electronic Properties of a Carbon Nanotorus: Effects of Delocalized Vs Localized Deformations
• Curvature induced optical phonon frequency shift in metallic carbon nanotubes
• Spin-orbit interaction in chiral carbon nanotubes probed in pulsed magnetic fields
• Piezoelectricity in planar boron nitride via a geometric phase
• Non-Hermitian lattices with a flat band and polynomial power increase
• Broken Symmetries in Scanning Tunneling Images of Carbon Nanotubes
• Quantized Adiabatic Charge Transport in a Carbon Nanotube
• Raman modes of the deformed single-wall carbon nanotubes
• Kohn Anomalies in Graphene Nanoribbons
• Resonant tunneling in graphene pseudomagnetic quantum dots
• Wide-range optical studies on various single-walled carbon nanotubes: the origin of the low-energy gap
• Collapse of Landau levels in Weyl semimetals
• Hall viscosity from elastic gauge fields in Dirac crystals
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Towards Graphene Nanoribbon-based Electronics
• Energy Anomaly and Polarizability of Carbon Nanotubes
• Pedestrian index theorem a la Aharonov-Casher for bulk threshold modes in corrugated multilayer graphene
• Electronic properties of monolayer and bilayer graphene
• Dirac-Kronig-Penney model for strain-engineered graphene
• How to directly observe Landau levels in driven-dissipative strained honeycomb lattices
• Landau levels in strained two-dimensional photonic crystals
• Universality of electron correlations in conducting carbon nanotubes
• Identifying the Orientation of Edge of Graphene Using G Band Raman Spectra
• Electron-vibron coupling in suspended carbon nanotube quantum dots
• Scaling analysis of electron transport through metal-semiconducting carbon nanotube interfaces: Evolution from the molecular limit to the bulk limit
• Feature-Rich Electronic Properties in Graphene Ripples
• Resonant Raman Spectroscopy of Armchair Carbon Nanotubes: Absence of "Metallic" Signature
• Persistent charge and spin currents in the long wavelength regime for graphene rings
• Chirality dependent frequency shift of radial breathing mode in metallic carbon nanotubes
• Propagating edge states in strained honeycomb lattices
• Spin-Orbit Effects in Carbon-Nanotube Double Quantum Dots
• Vibrational effects in the linear conductance of carbon nanotubes
• Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
• Correlation Effects of Single-Wall Carbon Nanotubes in Weak Coupling
• Quantized transport, strain-induced perfectly conducting modes and valley filtering on shape-optimized graphene Corbino devices
• Acoustogalvanic effect in Dirac and Weyl semimetals
• Conductance signatures of electron confinement induced by strained nanobubbles in graphene
• Geometric effects in the electronic transport of deformed nanotubes
• Kohn Anomaly in Raman Spectroscopy of Single Wall Carbon Nanotubes
• Quantum Hall effect in carbon nanotubes and curved graphene strips
• Flat bands and PT-symmetry in quasi-one-dimensional lattices
• Spin orbit in curved graphene ribbons
• On the metal-insulator transition in the two-chain model of correlated fermions
• Supersymmetric twisting of carbon nanotubes
• Qualitative analysis of trapped Dirac fermions in graphene
• Controlling edge states of zigzag carbon nanotubes by the Aharonov-Bohm flux
• Can Electric Field Induced Energy Gaps In Metallic Carbon Nanotubes?
• Interband transitions in narrow-gap carbon nanotubes and graphene nanoribbons
• Mechanical Graphene
• Graphene kirigami as a platform for stretchable and tunable quantum dot arrays
• Influence of nanotube length and density on the plasmonic terahertz response of single-walled carbon nanotubes
• Conductance across strain junctions in graphene nanoribbons
• Electronic optics in graphene in the semiclassical approximation
• Electron properties of carbon nanotubes in a periodic potential
• Low energy electronic states in spheroidal fullerenes
• Exciton Hierarchies in Gapped Carbon Nanotubes
• Curvatronics with bilayer graphene in an effective $4D$ spacetime
• Degeneracy breaking and intervalley scattering due to short-ranged impurities in finite single-wall carbon nanotubes
• 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
• Bandgap modulation of narrow-gap carbon nanotubes in a transverse electric field
• Geometrical and electronic structures of the (5, 3) single-walled gold nanotube from first-principles calculations
• Charge Screening Effect in Metallic Carbon Nanotubes
• Raise and collapse of strain-induced pseudo-Landau levels in graphene
• Valley coupling in finite-length metallic single-wall carbon nanotubes
• Topological superconductivity in carbon nanotubes with a small magnetic flux
• Chiral Gauge Theory for Graphene Edge
• Phonon-limited carrier mobility and resistivity from carbon nanotubes to graphene
• Large intravalley scattering due to pseudo-magnetic fields in crumpled graphene
• Strain induced correlation gaps in carbon nanotubes
• Fermi level quantum numbers and secondary gap of conducting carbon nanotubes
• Soliton Trap in Strained Graphene Nanoribbons
• Hybrid Structures and Strain-Tunable Electronic Properties of Carbon Nanothreads
• Transport in Nanotubes: Effect of Remote Impurity Scattering
• Designing electronic properties of two-dimensional crystals through optimization of deformations
• Degeneracy doubling and sublattice polarization in strain-induced pseudo-Landau levels
• Magnetism as a mass term of the edge states in graphene
• Nanomechanical displacement detection using coherent transport in ordered and disordered graphene nanoribbon resonators
• Low Energy Coherent Transport in Metallic Carbon Nanotube Junctions
• Metal-Semiconductor Transition and Fermi Velocity Renormalization in Metallic Carbon Nanotubes
• Improving the conductance of carbon nanotube networks through resonant momentum exchange
• Terahertz emitters and detectors based on carbon nanotubes
• Topological classification of the single-wall carbon nanotube
• Strain-driven chiral phonons in two-dimensional hexagonal materials
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Carbon Nanotubes in Helically Modulated Potentials
• Magnetoconductance of carbon nanotube p-n junctions
• Spheroidal geometry approach to fullerene molecules
• Pair states in one-dimensional Dirac systems
• Density functional theory method for twisted geometries with application to torsional deformations in group-IV nanotubes
• Bipolar electron waveguides in graphene
• Polarization Dependence of Raman Spectra in Strained Graphene
• Lattice defects and boundaries in conducting carbon nanotubes
• Spin current generation and magnetic response in carbon nanotubes by the twisting phonon mode
• Hydrodynamics of R-charged D1-branes
• Metal-Semiconductor Transition in Armchair Carbon Nanotubes by Symmetry Breaking
• Carbon nanotube array as a van der Waals two-dimensional hyperbolic material
• Spin-orbit effects in armchair carbon nanotubes: analytical results
• Topological gap states of semiconducting armchair graphene ribbons
• Casimir Interactions Between Scatterers in Metallic Carbon Nanotubes
• Tuning edge state localization in graphene nanoribbons by in-plane bending
• Kramers polarization in strongly correlated carbon nanotube quantum dots
• Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes
• Interaction induced dimerization in zigzag single wall carbon nanotubes
• Theory of electromechanical coupling in dynamical graphene
• Hot electrons injection in carbon nanotubes under the influence of quasi-static ac-field
• Cooling of chiral heat transport in the quantum Hall effect graphene
• Giant magneto-conductance in twisted carbon nanotubes
• Van Hove Singularities in disordered multichannel quantum wires and nanotubes
• Topological Phase Transition in Metallic Single-Wall Carbon Nanotube
• Electronic transport in bent carbon nanotubes
• High Frequency Conductivity of Hot Electrons in Carbon Nanotubes
• Photocurrent Properties of Freely Suspended Carbon Nanotubes under Uniaxial Strain
• Landau quantization in buckled monolayer GaAs
• W=0 Pairing in $(N,N)$ Carbon Nanotubes away from Half Filling
• Quantum Simulations of One-Dimensional Nanostructures under Arbitrary Deformations
• Pnicogen-bridged antiferromagnetic superexchange interactions in iron pnictides
• Devil's staircase of incompressible electron states in a nanotube
• Anomalous magnetization of a carbon nanotube as an excitonic insulator
• Transport Spectroscopy of Single-Walled Carbon Nanotubes
• X-ray edge problem of graphene
• Sublattice symmetry breaking and Kondo-effect enhancement in strained graphene
• Anomalous Aharonov--Bohm gap oscillations in carbon nanotubes
• Vacuum structure of Toroidal Carbon Nanotubes
• Aharanov-Bohm effect for the edge states of zigzag carbon nanotubes
• Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Momentum alignment and the optical valley Hall effect in low-dimensional Dirac materials
• Isospectral But Physically Distinct: Modular Symmetries and their Implications for Carbon Nanotori
• Spin-orbit coupling and proximity effects in metallic carbon nanotubes
• Impact of tunnel barrier strength on magnetoresistance in carbon nanotubes
• Elastic Screening of Pseudogauge Fields in Graphene
• Valley-antisymmetric potential in graphene under dynamical deformation
• Uniform Peak Optical Conductivity in Single-Walled Carbon Nanotubes
• Geometry-induced smoothing of van Hove singularities in capped carbon nanotubes
• Band Gaps and Wavefunctions of Electrons Coupled to Pseudo Electromagnetic Waves in Rippled Graphene
• Broad frequency and amplitude control of vibration in freestanding graphene via scanning tunneling microscopy with calculated dynamic pseudo-magnetic fields
• Symmetry restrictions in chirality dependence of physical properties of single wall nanotubes
• Applications of the potential algebras of the two-dimensional Dirac-like operators
• Formation of Subgap States in Carbon Nanotubes Due to a Local Transverse Electric Field
• Chiral Anomaly in Toroidal Carbon Nanotubes
• Interplay of Aharonov-Bohm, chirality, and aspect ratio effects in the axial conductance of a nanotube
• Electronic states, pseudo-spin, and transport in the zinc-blende quantum wells and wires with vanishing band gap
• On the defect induced gauge and Yukawa fields in graphene
• Spontaneous twisting and shrinking of carbon nanotubes
• Strong correlation effects in single-wall carbon nanotubes
• Localization of electronic states by fullerene charges in carbon nanotubes
• Spin orbit interaction in nanotubes
• Gate-voltage response of a one-dimensional ballistic spin valve without spin-orbit interaction
• Aharonov-Bohm magnetism and Landau diamagnetism in semimetals
• Exciton Dynamics in Carbon Nanotubes: From the Luttinger Liquid to Harmonic Oscillators
• Gate-Tunable Resonances and 1D Channel in a Graphene Nanoslide
• Kinematics of Persistent Currents in Nanotubes and Tori -Time-reversal symmetric gauge field and its application-
• Correlated insulating states in carbon nanotubes controlled by magnetic field
• Gate-dependent spin-orbit coupling in multi-electron carbon nanotubes
• Compact modes in quasi one dimensional coupled magnetic oscillators
• Chirality Induced Propagation Velocity Asymmetry
• Magnetically Induced Field Effect in Carbon Nanotube Devices
• Anomalous screening in narrow-gap carbon nanotubes
• Tunneling in rippled graphene superlattice with spin dependence and a mass term
• High conductivity from cross-band electron pairing in flat-band systems
• Scalable tight-binding model for strained graphene
• Impact of space-time curvature coupling on the vacuum energy induced by a magnetic topological defect in flat space-time of arbitrary dimension
• Recent advances in the internal functionalization of carbon nanotubes: synthesis, optical, and magnetic resonance studies
• Binding and spontaneous condensation of excitons in narrow-gap carbon nanotubes
• Quantized Acoustoelectric Floquet Effect in Quantum Nanowires
• Conductance through the disclination dipole defect in metallic carbon nanotubes
• Edge density of bulk states due to relativity