Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes

Abstract

We argue that long-range Coulomb forces convert an isolated (N,N) armchair carbon nanotube into a strongly-renormalized *Luttinger liquid*. At high temperatures, we find anomalous temperature dependences for the interaction and impurity contributions to the resistivity, and similar power-law dependences for the local tunneling density of states. At low temperatures, the nanotube exhibits spin-charge separation, visible as an extra energy scale in the discrete tunneling density of states (for which we give an analytic form), signaling a departure from the orthodox theory of Coulomb blockade.

4 pages, 1 figure

Cited by in corpus (271)

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• High-Field Electrical Transport in Single-Wall Carbon Nanotubes
• Disorder, pseudospins, and backscattering in carbon nanotubes
• Superconductivity in Ropes of Single-Walled Carbon Nanotubes
• Carbon Nanotubes as Cooper Pair Beam Splitters
• Singular Fermi Liquids
• 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
• Evidence for Luttinger liquid behavior in crossed metallic single-wall nanotubes
• Transition from a Tomonaga-Luttinger liquid to a Fermi liquid in potassium intercalated bundles of single wall carbon nanotubes
• Superconductor coupled to two Luttinger liquids as an entangler for electron spins
• Imaging the Wigner Crystal of Electrons in One Dimension
• Observation and Spectroscopy of a Two-Electron Wigner Molecule in an Ultra-Clean Carbon Nanotube
• Multiwalled carbon nanotube: Luttinger liquid or not?
• Nuclear magnetism and electron order in interacting one-dimensional conductors
• Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid
• Electric-Field Induced Majorana Fermions in Armchair 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
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Luttinger-liquid-like transport in long InSb nanowires
• Electronic Properties of Armchair Carbon Nanotubes : Bosonization Approach
• Magnetic response of carbon nanotubes from ab initio calculations
• 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
• Plasmon reflections by topological electronic boundaries in bilayer graphene
• Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions
• Single Carbon Nanotube--Superconductor Entangler: noise correlations and EPR states
• Magnetic field asymmetry of nonlinear transport in carbon nanotubes
• Microscopic model of superconductivity in carbon nanotubes
• Spin transport in interacting quantum wires and carbon nanotubes
• Imaging gate-tunable Tomonaga-Luttinger liquids in 1H-MoSe${}_2$ mirror twin boundaries
• Attractive Tomonaga-Luttinger Liquid in a Quantum Spin Ladder
• Universality in driven open quantum matter
• Fundamental Optical Processes in Armchair Carbon Nanotubes
• Applying voltage sources to a Luttinger liquid with arbitrary transmission
• Narrow gap Luttinger liquid in Carbon nanotubes
• Optical dichroism in nanotubes
• Electron injection in a nanotube: noise correlations and entanglement
• Tunable Luttinger liquid physics in biased bilayer graphene
• Chirality of internal metallic and semiconducting carbon nanotubes
• Quantized Adiabatic Charge Transport in a Carbon Nanotube
• Spin-dependent transport in a Luttinger liquid
• ``X-Ray Edge'' Singularities in Nanotubes and Quantum Wires with Multiple Subbands
• Spin gap and Luttinger liquid description of the NMR relaxation in carbon nanotubes
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Theory of momentum resolved tunneling into a short quantum wire
• Electron-electron and spin-orbit interactions in armchair graphene ribbons
• Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity
• The Coulomb Luttinger liquid
• Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field
• Dynamics and Dissipation induced by Single-Electron Tunneling in Carbon Nanotube Nanoelectromechanical Systems
• Consistency of superconducting correlations with one-dimensional electron interactions in carbon nanotubes
• Electron injection in a nanotube with leads: finite frequency noise-correlations and anomalous charges
• Tomonaga-Luttinger parameters for quantum wires
• Universality of electron correlations in conducting carbon nanotubes
• Holographic quantum liquids in 1+1 dimensions
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Electron spin resonance signal of Luttinger liquids and single-wall carbon 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
• AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
• Resonant Andreev reflections in superconductor-carbon-nanotube devices
• Oscillatory non-linear conductance of an interacting quantum wire with an impurity
• Helicity and electron correlation effects on transport properties of double-walled carbon nanotubes
• Conductance of one-dimensional quantum wires
• Correlated tunneling in intramolecular carbon nanotube quantum dots
• Correlation Effects of Single-Wall Carbon Nanotubes in Weak Coupling
• Quantum Monte Carlo Calculations for Carbon Nanotubes
• Geometric effects in the electronic transport of deformed nanotubes
• Linear and nonlinear transport across carbon nanotube quantum dots
• Quantum Hall effect in carbon nanotubes and curved graphene strips
• Tomonaga-Luttinger liquid correlations and Fabry-Perot interference in conductance and finite-frequency shot noise in a single-walled carbon nanotube
• Coulomb drag shot noise in coupled Luttinger liquids
• Sample-specific and Ensemble-averaged Magnetoconductance of Individual Single-Wall Carbon Nanotubes
• 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
• Carleman estimate for infinite cylindrical quantum domains and application to inverse problems
• Spin transport across carbon nanotube quantum dots
• Coulomb Blockade Regime of a Single-Wall Nanotube
• Coulomb screening and electronic instabilities of small-diameter (5,0) nanotubes
• Superconductivity in carbon nanotube ropes
• Nonlinear magnetotransport in interacting chiral nanotubes
• One-dimensional moiré superlattices and flat bands in collapsed chiral carbon nanotubes
• Electron properties of carbon nanotubes in a periodic potential
• The spectrum of interacting metallic carbon nanotubes: Exchange effects and universality
• Theory of shot noise in single-walled metallic carbon nanotubes weakly coupled to nonmagnetic and ferromagnetic leads
• Suppression of electron-electron repulsion and superconductivity in Ultra Small Carbon Nanotubes
• Phonon-assisted tunneling in interacting suspended single wall carbon nanotubes
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
• The low energy spectrum of finite size metallic SWNTs
• Crossover from Luttinger liquid to Coulomb blockade regime in carbon nanotubes
• Time-dependent evolution of two coupled Luttinger liquids
• Transport, optical properties and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• Transport theory of carbon nanotube Y junctions
• Electronic inter-tube transfer in double-wall carbon nanotubes with impurities
• Spin and Charge Luttinger-Liquid Parameters of the One-Dimensional Electron Gas
• Exciton Hierarchies in Gapped Carbon Nanotubes
• Sagnac interference in Carbon nanotube loops
• Strong Electron-Electron Interactions of a Tomonaga--Luttinger Liquid Observed in InAs Quantum Wires
• Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes
• Charge Screening Effect in Metallic Carbon Nanotubes
• Superconductivity in ropes of carbon nanotubes
• Topological superconductivity in carbon nanotubes with a small magnetic flux
• A theory of superconductivity in multi-walled carbon nanotubes
• Non-Fermi liquid behavior in transport across carbon nanotube quantum dots
• Full Counting Statistics and Field Theory
• Phonon-limited carrier mobility and resistivity from carbon nanotubes to graphene
• Heat asymmetries in nanoscale conductors: The role of decoherence and inelasticity
• Quantum plasmonic non-reciprocity in parity-violating magnets
• Effective low-energy theory of superconductivity in carbon nanotube ropes
• Single Wall Nanotubes: Atomic Like Behaviour and Microscopic Approach
• Electron-electron interaction effects on the photophysics of metallic single-walled carbon nanotubes
• Defect-induced multicomponent electron scattering in single-walled carbon nanotubes
• Charge and Spin Effects in Mesoscopic Josephson Junctions
• Impurity effects on the resonant Andreev reflection in a finite-sized carbon nanotube system
• Finite size effects, super-and sub-poissonian noise in a nanotube connected to leads
• Twist instability in strongly correlated carbon nanotubes
• 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
• Correlated sequential tunneling through a double barrier for interacting one-dimensional electrons
• Low Energy Coherent Transport in Metallic Carbon Nanotube Junctions
• Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes
• Non-equilibrium Plasmons in a Quantum Wire Single Electron Transistor
• Insulating, superconducting and large-compressibility phases in nanotube ropes
• Non-Fermi Liquids in Conducting 2D Networks
• Effect of a Coulombic dot-lead coupling on the dynamics of a quantum dot
• Conformal field theory in Tomonaga-Luttinger model with $1/r^{\beta }$ type long-range interactions
• Tomonaga-Luttinger liquid and localization in Weyl semimetals
• Superconductivity in carbon nanotubes coupled to transition metal atoms
• Fast and slow edges in bilayer graphene nanoribbons: Tuning the transition from band- to Mott-insulator
• Intrinsic Coulomb blockade in multi-wall carbon nanotubes
• Superconducting instability in 3 band metallic nanotubes
• Physics in one dimension: theoretical concepts for quantum many-body systems
• Luttinger Parameter g for Metallic Carbon Nanotubes and Related Systems
• Two-band electronic metal and neighboring spin liquid (spin Bose-metal) on a zigzag strip with longer-ranged repulsion
• Double-gap superconducting proximity effect in nanotubes
• 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
• Andreev current in finite sized carbon nanotubes
• Electron backscattering from dynamical impurities in a Luttinger liquid
• Spin-orbit coupling and electron spin resonance for interacting electrons in carbon nanotubes
• Field emission from Luttinger liquids and single-wall carbon nanotubes
• Doping- and size-dependent suppression of tunneling in carbon nanotubes
• Interaction induced dimerization in zigzag single wall carbon nanotubes
• Hot electrons injection in carbon nanotubes under the influence of quasi-static ac-field
• The tunneling conductance between a superconducting STM tip and an out-of-equilibrium carbon nanotube
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Charge-Kondo Effect in Mesoscopic Superconductors Coupled to Normal Metals
• Microwave-induced nonequilibrium temperature in a suspended carbon nanotube
• Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
• Properties of superconductor - Luttinger liquid hybrid systems
• Transverse field-induced effects in carbon nanotubes
• Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wires
• Spin Transport in a Quantum Wire
• Electronic screening and correlated superconductivity in carbon nanotubes
• Phase diagrams of the metallic zigzag carbon nanotube
• 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
• Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis
• Quantum Dynamics in Non-equilibrium Strongly Correlated Environments
• Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
• Exciton-Peierls mechanism and universal many-body gaps in carbon nanotubes
• Local spectral properties of Luttinger liquids: scaling versus nonuniversal energy scales
• Intersubband Edge Singularity in Metallic Nanotubes
• Decay of a plasmon into neutral modes in a carbon nanotube
• Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
• Magnetic field effects and renormalization of the long-range Coulomb interaction in Carbon Nanotubes
• Electronic behavior in mats of single-walled carbon nanotubes under pressure
• Correlation effects of carbon nanotubes at boundaries: Spin polarization induced by zero-energy boundary states
• Mechanically induced current and quantum evaporation from Luttinger liquids
• Sagnac interference in Carbon nanotubes
• Probing the intrinsic state of a one-dimensional quantum well with a photon-assisted tunneling
• Dynamical symmetry enlargement in metallic zigzag carbon nanotubes
• Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: II. Transport properties
• Tunneling conductance of long-range Coulomb interacting Luttinger liquid
• Nonlinear transport through a dynamic impurity in a strongly interacting one-dimensional electron gas
• Raman spectra of unfilled and filled carbon nanotubes: Theory
• Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
• Temporal Chiral Spiral in Strong Magnetic Fields
• Exclusion Statistics in a two-dimensional trapped Bose gas
• Spectrum and Franck-Condon factors of interacting suspended single-wall carbon nanotubes
• Many-body dispersions in interacting ballistic quantum wires
• Coupling-geometry-induced temperature scales in the conductance of Luttinger liquid wires
• Universal nature of collective plasmonic excitations in finite 1-D carbon-based nanostructures
• Modulation of Luttinger liquid exponents in multi-walled carbon nanotubes
• 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
• Interaction-driven giant orbital magnetic moments in carbon nanotubes
• Linear conductance of an interacting carbon nanotube ring
• Minimal alternating current injection into carbon nanotubes
• Spin-orbit coupling and proximity effects in metallic carbon nanotubes
• Transports of Disordered Carbon Nanotubes with Long Range Coulomb Interaction
• Correlation effects for semiconducting single wall carbon nanotube: a density matrix renormalization group study
• Transport in Double-Crossed Luttinger Liquids
• Many body effects in finite metallic carbon nanotubes
• Current instability and diamagnetism in small-diameter carbon nanotubes
• Nonmonotonic behavior of resistance in a superconductor-Luttinger liquid junction
• Transport approach to the superconducting proximity effect in carbon nanotubes
• Heating causes non-linear microwave absorption anomaly in single wall carbon nanotubes
• Transport properties of double-walled carbon nanotube quantum dots
• Exciton Quasi-Condensation in One Dimensional Systems
• Charge accumulation on a Luttinger liquid
• Establishing Analogies between the Physics of Extra Dimensions and Carbon Nanotubes
• Theory of the conductance of interacting quantum wires with good contacts and applications to carbon nanotubes
• External voltage sources and Tunneling in quantum wires
• Vicious walks with long-range interactions
• Electrical transport properties of small diameter single-walled carbon nanotubes aligned on ST-cut quartz substrates
• Chiral Anomaly in Toroidal Carbon Nanotubes
• Currents and correlations in Luttinger liquids and carbon nanotubes at finite temperature and size: a bosonization study
• Functional Renormalization-Group Analysis of Luttinger Liquids with Impurities
• Influence of electron-phonon coupling on low temperature phases of metallic single-wall carbon nanotubes
• Thermal radiation as a probe of one-dimensional electron liquids
• Static and dynamic image potential for tunneling into a Luttinger liquid
• Nonequilibrium plasmons and transport properties of a double--junction quantum wire
• Semiconductor nanodevices as a probe of strong electron correlations
• Scattering of plasmons at the intersection of two metallic nanotubes: Implications for tunnelling
• Creation and detection of mobile and non-local spin-entangled electrons
• Observation of impedance oscillations in single walled carbon nanotube bundles excited by high frequency signals
• Entanglement of electrons and the lattice in a Luttinger system
• Linear current fluctuations in the power-law region of metallic carbon nanotubes
• Solving real time evolution problems by constructing excitation operators
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Dynamical electron transport through a nanoelectromechanical wire in a magnetic field
• Strong correlation effects in single-wall carbon nanotubes
• Influence of dimensionality on superconductivity in carbon nanotubes
• Stable recovery of non-compactly supported electromagnetic potentials in unbounded domain
• Paraconductivity in Carbon Nanotubes
• Negative critical currents in single-channel Josephson junctions
• Localization of electronic states by fullerene charges in carbon nanotubes
• dc Josephson Effect in Metallic Single-Walled Carbon Nanotubes
• Generation and Amplification of Terahertz Radiation in Carbon Nanotubes
• Consequences of the Inherent Density Dependence in Dirac Materials
• Intertube effects on one-dimensional correlated state of metallic single-wall carbon nanotubes probed by 13C NMR
• Correlated insulating states in carbon nanotubes controlled by magnetic field
• Accessing nanotube bands via crossed electric and magnetic fields
• Quantum criticality in a Mott pn-junction in an armchair carbon nanotube
• On the visibility of electron-electron interaction effects in field emission spectra
• Exciton Dynamics in Carbon Nanotubes: From the Luttinger Liquid to Harmonic Oscillators
• A model dielectric response function for metallic nanotube ropes
• Electrostatic Screening in Nanotubes: A Tubular Response Function Framework
• Confinement Phase in Carbon-Nanotubes and the Extended Massive Schwinger Model
• Universal point contact resistance between thin-film superconductors
• Determination of non-compactly supported electromagnetic potentials in unbounded closed waveguide
• Optical conductivity of one-dimensional narrow-gap semiconductors
• Binding and spontaneous condensation of excitons in narrow-gap carbon nanotubes
• A One-Dimensional Electron Gas Coupled to Light
• Breakdown of classical electrostatics in the depolarization of quantum wires and nanotubes
• Dominant end-tunneling effect in two distinct Luttinger liquids coexisting in one quantum wire
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Anomalous screening in narrow-gap carbon nanotubes
• Oscillator Strength of Metallic Carbon Nanotubes
• Resonant Raman Scattering of Interacting Two-Channel Quantum Wires