Effective low-energy theory for correlated carbon nanotubes

Abstract

The low-energy theory for single-wall carbon nanotubes including Coulomb interactions is derived and analyzed. It describes two fermion chains without interchain hopping but coupled in a specific way by the interaction. The strong-coupling properties are studied by bosonization, and consequences for experiments on single armchair nanotubes are discussed.

5 pages REVTeX, includes one figure

Cited by in corpus (253)

• Luttinger Liquid Behavior in Carbon Nanotubes
• High-Field Electrical Transport in Single-Wall Carbon Nanotubes
• Disorder, pseudospins, and backscattering in carbon nanotubes
• Superconductivity in Ropes of Single-Walled Carbon Nanotubes
• Contact resistance between carbon nanotubes
• Electrical transport through carbon nanotube junctions created by mechanical manipulation
• Terahertz Science and Technology of Carbon Nanomaterials
• Luttinger liquid behavior in multi-wall carbon nanotubes
• Zero-Conductance Resonances due to Flux States in Nanographite Ribbon Junctions
• Suppression of tunneling into multi-wall carbon nanotubes
• Quantum entanglement in carbon nanotubes
• Carbon Nanotube Based Magnetic Tunnel Junctions
• Conductance of carbon nanotubes with disorder: A numerical study
• Transition from a Tomonaga-Luttinger liquid to a Fermi liquid in potassium intercalated bundles of single wall carbon nanotubes
• Evidence for Luttinger liquid behavior in crossed metallic single-wall nanotubes
• Superconductor coupled to two Luttinger liquids as an entangler for electron spins
• Observation and Spectroscopy of a Two-Electron Wigner Molecule in an Ultra-Clean Carbon Nanotube
• Nuclear magnetism and electron order in interacting one-dimensional conductors
• Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
• Spin configurations of carbon nanotube in a nonuniform external potential
• Theory of the Magnetic-Field-Induced Insulator in Neutral Graphene
• Bulk and boundary zero-bias anomaly in multi-wall carbon nanotubes
• Tomonaga-Luttinger Liquid Features in Ballistic Single-Walled Carbon Nanotubes: Conductance and Shot Noise
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• Quantum transport through carbon nanotubes: proximity induced and intrinsic superconductivity
• Spin-orbit coupling and ESR theory for carbon nanotubes
• Helical Luttinger liquid in topological insulator nanowires
• Luttinger-liquid-like transport in long InSb nanowires
• Electronic Properties of Armchair Carbon Nanotubes : Bosonization Approach
• Transport of interacting electrons through a double barrier in quantum wires
• Localized and Delocalized Charge Transport in Single-Wall Carbon-Nanotube Mats
• Carbon nanotubes as excitonic insulators
• Acoustic phonon exchange, attractive interactions, and the Wentzel-Bardeen singularity in single-wall nanotubes
• Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions
• Microscopic model of superconductivity in carbon nanotubes
• Spin transport in interacting quantum wires and carbon nanotubes
• Attractive Tomonaga-Luttinger Liquid in a Quantum Spin Ladder
• Narrow gap Luttinger liquid in Carbon nanotubes
• Applying voltage sources to a Luttinger liquid with arbitrary transmission
• Coulomb Drag between Quantum Wires
• Chirality of internal metallic and semiconducting carbon nanotubes
• Quantized Adiabatic Charge Transport in a Carbon Nanotube
• Spin-dependent transport in a Luttinger liquid
• Coulomb versus spin-orbit interaction in few-electron carbon-nanotube quantum dots
• On superconductivity in armchair carbon nanotubes
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Electron-electron and spin-orbit interactions in armchair graphene ribbons
• Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity
• Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field
• The Coulomb Luttinger liquid
• Dynamics and Dissipation induced by Single-Electron Tunneling in Carbon Nanotube Nanoelectromechanical Systems
• Nonequilibrium transport for crossed Luttinger liquids
• Consistency of superconducting correlations with one-dimensional electron interactions in carbon nanotubes
• Tomonaga-Luttinger parameters for quantum wires
• Universality of electron correlations in conducting carbon nanotubes
• 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
• Fabry-Perot interference and spin filtering in carbon nanotubes
• Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders
• Few-electron physics in a nanotube quantum dot with spin-orbit coupling
• Oscillatory non-linear conductance of an interacting quantum wire with an impurity
• Spin-Orbit Effects in Carbon-Nanotube Double Quantum Dots
• AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
• Resonant Andreev reflections in superconductor-carbon-nanotube devices
• Conductance of one-dimensional quantum wires
• Correlated tunneling in intramolecular carbon nanotube quantum dots
• Helicity and electron correlation effects on transport properties of double-walled carbon nanotubes
• Tomonaga-Luttinger liquid correlations and Fabry-Perot interference in conductance and finite-frequency shot noise in a single-walled carbon nanotube
• Quantum Hall effect in carbon nanotubes and curved graphene strips
• Linear and nonlinear transport across carbon nanotube quantum dots
• Coulomb drag shot noise in coupled Luttinger liquids
• Geometric effects in the electronic transport of deformed nanotubes
• Sample-specific and Ensemble-averaged Magnetoconductance of Individual Single-Wall Carbon Nanotubes
• Intershell resistance in multiwall carbon nanotubes: A Coulomb drag study
• Excitation spectrum of doped two-leg ladders: A field theory analysis
• One-dimensional quantum wires: A pedestrian approach to bosonization
• Critical Properties of One-Dimensional Electron Systems with $1/r^{\alpha }$-type Long-Range Interactions
• Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• Spin transport across carbon nanotube quantum dots
• Enhancement of non-local exchange near isolated band-crossings in graphene
• Coulomb Blockade Regime of a Single-Wall Nanotube
• Superconductivity in carbon nanotube ropes
• Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes
• Spin-charge separation in Aharonov-Bohm rings of interacting electrons
• Out of equilibrium density dynamics of a quenched fermionic system
• Inter-valley scattering induced by Coulomb interaction and disorder in carbon-nanotube quantum dots
• One-dimensional moiré superlattices and flat bands in collapsed chiral carbon nanotubes
• Nonlinear magnetotransport in interacting chiral nanotubes
• Theory of shot noise in single-walled metallic carbon nanotubes weakly coupled to nonmagnetic and ferromagnetic leads
• Phonon-assisted tunneling in interacting suspended single wall carbon nanotubes
• Suppression of electron-electron repulsion and superconductivity in Ultra Small Carbon Nanotubes
• Electron properties of carbon nanotubes in a periodic potential
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
• The low energy spectrum of finite size metallic SWNTs
• Helical nuclear spin order in two-subband quantum wires
• The spectrum of interacting metallic carbon nanotubes: Exchange effects and universality
• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Transport, optical properties and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• Transport theory of carbon nanotube Y junctions
• Crossover from Luttinger liquid to Coulomb blockade regime in carbon nanotubes
• Time-dependent evolution of two coupled Luttinger liquids
• Spin and Charge Luttinger-Liquid Parameters of the One-Dimensional Electron Gas
• Pressure control of conducting channels in singlewall nanotube networks
• Non-local exchange effects in zigzag edge magnetism of neutral graphene nanoribbons
• Electronic inter-tube transfer in double-wall carbon nanotubes with impurities
• Strong Electron-Electron Interactions of a Tomonaga--Luttinger Liquid Observed in InAs Quantum Wires
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes
• Unscreened Coulomb interactions and quantum spin Hall phase in neutral zigzag graphene ribbons
• Charge Screening Effect in Metallic Carbon Nanotubes
• Superconducting diamagnetic fluctuations in ropes of carbon nanotubes
• Non-Fermi liquid behavior in transport across carbon nanotube quantum dots
• A theory of superconductivity in multi-walled carbon nanotubes
• Superconductivity in ropes of carbon nanotubes
• Phonon-limited carrier mobility and resistivity from carbon nanotubes to graphene
• Singlet superconductivity phase in carbon nanotubes
• Electron-electron interaction effects on the photophysics of metallic single-walled carbon nanotubes
• Features of spin-charge separation in the equilibrium conductance through finite rings
• Defect-induced multicomponent electron scattering in single-walled carbon nanotubes
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Effective low-energy theory of superconductivity in carbon nanotube ropes
• Impurity effects on the resonant Andreev reflection in a finite-sized carbon nanotube system
• Luttinger liquid superlattices: realization of gapless insulating phases
• Charge and Spin Effects in Mesoscopic Josephson Junctions
• Multi-particle effects in non-equilibrium electron tunnelling and field emission
• Magnetic field effects on low dimensional electron systems: Luttinger liquid behaviour in a Quantum Wire
• Twist instability in strongly correlated carbon nanotubes
• Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes
• Dispersion interaction between crossed conducting wires
• Correlated sequential tunneling through a double barrier for interacting one-dimensional electrons
• Insulating, superconducting and large-compressibility phases in nanotube ropes
• Double Quantum Dots in Carbon Nanotubes
• Non-equilibrium Plasmons in a Quantum Wire Single Electron Transistor
• Conformal field theory in Tomonaga-Luttinger model with $1/r^{\beta }$ type long-range interactions
• Intrinsic Coulomb blockade in multi-wall carbon nanotubes
• Superconducting instability in 3 band metallic nanotubes
• Tomonaga-Luttinger liquid and localization in Weyl semimetals
• Effect of long-range interaction on graphene edge magnetism
• Luttinger Parameter g for Metallic Carbon Nanotubes and Related Systems
• Transient noise spectra in resonant tunneling setups: Exactly solvable models
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Double-gap superconducting proximity effect in nanotubes
• Physics in one dimension: theoretical concepts for quantum many-body systems
• Lattice defects and boundaries in conducting carbon nanotubes
• Persistent current and correlation effects in carbon nanotubes
• Regular networks of Luttinger liquids
• Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes
• Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: I. Spectral properties
• Exchange effects in spin polarized transport through carbon nanotube quantum dots
• Voltage profile and four terminal resistance of an interacting quantum wire
• Andreev current in finite sized carbon nanotubes
• Friedel oscillations in a Luttinger liquid with long-range interactions
• Doping- and size-dependent suppression of tunneling in carbon nanotubes
• Field emission from Luttinger liquids and single-wall carbon nanotubes
• Interaction induced dimerization in zigzag single wall carbon nanotubes
• Spin-orbit coupling and electron spin resonance for interacting electrons in carbon nanotubes
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Properties of superconductor - Luttinger liquid hybrid systems
• Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
• Electron scattering in multi-wall carbon-nanotubes
• Phase diagrams of the metallic zigzag carbon nanotube
• Electronic screening and correlated superconductivity in carbon nanotubes
• Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
• The tunneling conductance between a superconducting STM tip and an out-of-equilibrium carbon nanotube
• Spin Transport in a Quantum Wire
• W=0 Pairing in $(N,N)$ Carbon Nanotubes away from Half Filling
• Transport through a double barrier for interacting quasi one-dimensional electrons in a Quantum Wire in the presence of a transverse magnetic field
• Devil's staircase of incompressible electron states in a nanotube
• Anomalous magnetization of a carbon nanotube as an excitonic insulator
• Electronic spectrum and tunnelling properties of multi-wall carbon nanotubes
• Dimensional crossover in a Fermi gas from one to effective six dimensions and a cross-dimensional Tomonaga-Luttinger model
• Alteration of superconductivity of suspended carbon nanotubes by deposition of organic molecules
• Magnetic field effects and renormalization of the long-range Coulomb interaction in Carbon Nanotubes
• Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
• Decay of a plasmon into neutral modes in a carbon nanotube
• Intersubband Edge Singularity in Metallic Nanotubes
• Local spectral properties of Luttinger liquids: scaling versus nonuniversal energy scales
• Correlation effects of carbon nanotubes at boundaries: Spin polarization induced by zero-energy boundary states
• Mechanically induced current and quantum evaporation from Luttinger liquids
• Probing the intrinsic state of a one-dimensional quantum well with a photon-assisted tunneling
• Double quantum dots defined in bilayer graphene
• Spin and valley manipulation in single and double electrostatic silicene quantum dots
• Exciton-Peierls mechanism and universal many-body gaps in carbon nanotubes
• Vacuum structure of Toroidal Carbon Nanotubes
• Exclusion Statistics in a two-dimensional trapped Bose gas
• Spin-charge separation in strongly interacting finite ladder rings
• Temporal Chiral Spiral in Strong Magnetic Fields
• Spectrum and Franck-Condon factors of interacting suspended single-wall carbon nanotubes
• Nonlinear transport through a dynamic impurity in a strongly interacting one-dimensional electron gas
• Coupling-geometry-induced temperature scales in the conductance of Luttinger liquid wires
• Modulation of Luttinger liquid exponents in multi-walled carbon nanotubes
• Universal nature of collective plasmonic excitations in finite 1-D carbon-based nanostructures
• Transport through multiply connected quantum wires
• Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Transport in Double-Crossed Luttinger Liquids
• Transports of Disordered Carbon Nanotubes with Long Range Coulomb Interaction
• Transport through a double barrier in Large Radius Carbon Nanotubes in the presence of a transverse magnetic field
• Contact resistance of quantum tubes
• Many body effects in finite metallic carbon nanotubes
• Response functions in multicomponent Luttinger liquids
• Linear conductance of an interacting carbon nanotube ring
• Current instability and diamagnetism in small-diameter carbon nanotubes
• Spin-dependent transport through interacting graphene armchair nanoribbons
• Heating causes non-linear microwave absorption anomaly in single wall carbon nanotubes
• Transport approach to the superconducting proximity effect in carbon nanotubes
• Charge accumulation on a Luttinger liquid
• Theory of the conductance of interacting quantum wires with good contacts and applications to carbon nanotubes
• Transport properties of double-walled carbon nanotube quantum dots
• Modulation induced transport signatures in correlated electron waveguides
• Probing Wigner correlations in a suspended carbon nanotube
• Nonmonotonic behavior of resistance in a superconductor-Luttinger liquid junction
• External voltage sources and Tunneling in quantum wires
• Tomonaga-Luttinger liquid theory for metallic fullurene polymers
• Two-electron n-p double quantum dots in carbon nanotubes
• Functional Renormalization-Group Analysis of Luttinger Liquids with Impurities
• Static and dynamic image potential for tunneling into a Luttinger liquid
• Influence of electron-phonon coupling on low temperature phases of metallic single-wall carbon nanotubes
• Chiral Anomaly in Toroidal Carbon Nanotubes
• Currents and correlations in Luttinger liquids and carbon nanotubes at finite temperature and size: a bosonization study
• RG study of a non local sine-Gordon model
• Creation and detection of mobile and non-local spin-entangled electrons
• Solving real time evolution problems by constructing excitation operators
• Nonequilibrium plasmons and transport properties of a double--junction quantum wire
• Semiconductor nanodevices as a probe of strong electron correlations
• Entanglement of electrons and the lattice in a Luttinger system
• AC Josephson current and supercurrent noise through one-dimensional correlated electron systems
• dc Josephson Effect in Metallic Single-Walled Carbon Nanotubes
• Influence of dimensionality on superconductivity in carbon nanotubes
• Paraconductivity in Carbon Nanotubes
• Dynamical electron transport through a nanoelectromechanical wire in a magnetic field
• Strong correlation effects in single-wall carbon nanotubes
• Localization of electronic states by fullerene charges in carbon nanotubes
• Quantum criticality in a Mott pn-junction in an armchair carbon nanotube
• Consequences of the Inherent Density Dependence in Dirac Materials
• On the visibility of electron-electron interaction effects in field emission spectra
• Correlated insulating states in carbon nanotubes controlled by magnetic field
• Electrostatic Screening in Nanotubes: A Tubular Response Function Framework
• Intertube effects on one-dimensional correlated state of metallic single-wall carbon nanotubes probed by 13C NMR
• A model dielectric response function for metallic nanotube ropes
• Transport in Luttinger Liquids
• Confinement Phase in Carbon-Nanotubes and the Extended Massive Schwinger Model
• Breakdown of classical electrostatics in the depolarization of quantum wires and nanotubes
• Anomalous screening in narrow-gap carbon nanotubes
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Binding and spontaneous condensation of excitons in narrow-gap carbon nanotubes
• Dominant end-tunneling effect in two distinct Luttinger liquids coexisting in one quantum wire
• Oscillator Strength of Metallic Carbon Nanotubes
• Recent advances in the internal functionalization of carbon nanotubes: synthesis, optical, and magnetic resonance studies
• Universal point contact resistance between thin-film superconductors
• Theoretical study of interacting electrons in one dimension - ground states and experimental signatures
• Metal-Insulator Transition of the Quasi-One Dimensional Luttinger Liquid Due to the Long-Range Character of the Coulomb Interaction