Luttinger Liquid Behavior in Carbon Nanotubes

Abstract

An interacting one-dimensional (1D) electron system is predicted to behave very differently than its higher-dimensional counterparts. Coulomb interactions strongly modify the properties away from those of a Fermi liquid, resulting in a Luttinger liquid (LL) characterized by a power-law vanishing of the density of states at the Fermi level. Experiments on one-dimensional semiconductor wires and fractional quantum Hall conductors have been interpreted using this picture, but questions remain about the connection between theory and experiment. Recently, single-walled carbon nanotubes (SWNTs) have emerged as a new type of 1D conductor that may exhibit LL behavior. Here we present measurements of the conductance of individual ropes of such SWNTs as a function of temperature and voltage. Power law behavior as a function of temperature or bias voltage is observed: G~ T^a and dI/dV ~ V^a. Both the power-law functional forms and the inferred exponents are in good agreement with theoretical predictions for tunneling into a LL.

References in corpus (5)

• Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Effective low-energy theory for correlated carbon nanotubes
• Spin splitting and even-odd effects in carbon nanotubes
• Nonequilibrium transport for crossed Luttinger liquids

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• Color-charge separation in trapped SU(3) fermionic atoms
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• Wave packet dynamics in the one-dimensional extended Hubbard model
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• Determination of Tomonaga-Luttinger parameters for a two-component liquid
• Giant magneto-conductance in twisted carbon nanotubes
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• Many-particle correlations in non-equilibrium Luttinger liquid
• Quantum Dot in Interacting Environments
• Temperature induced phase averaging in one-dimensional mesoscopic systems
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• Tunneling into strongly biased Tomonaga-Luttinger liquid
• Spin-orbit coupling and electron spin resonance for interacting electrons in carbon nanotubes
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• Tracking spin and charge with spectroscopy in spin-polarised 1D systems
• Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
• Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
• Electronic structure and signature of Tomonaga-Luttinger liquid state in epitaxial CoSb${}_{1-x}$ nanoribbons
• Microwave-induced nonequilibrium temperature in a suspended carbon nanotube
• Second sound in systems of one-dimensional fermions
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• Electron scattering in multi-wall carbon-nanotubes
• Transverse field-induced effects in carbon nanotubes
• Lattice vs. continuum theory of the periodic Heisenberg chain
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• The Two-Band Luttinger Liquid with Spin-Orbit Coupling: Applications to Monatomic Chains on Surfaces
• Tomonaga-Luttinger-Liquid Theory of Metallic Carbon Nanotubes with Open Boundaries
• Unusual conductance collapse in one-dimensional quantum structures
• Probing Spin-Charge Relation by Magnetoconductance in One-Dimensional Polymer Nanofibers
• Anomalous magnetization of a carbon nanotube as an excitonic insulator
• Tomonaga Luttinger liquid in the topological edge channel of multilayer FeSe
• Epitaxially defined Luttinger liquids on MoS${}_2$ bicrystals
• Dimensional Reduction of Helium-4 Inside Argon Plated MCM-41 Nanopores
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• Signatures of spin-charge separation in scanning probe microscopy
• Electronic spectrum and tunnelling properties of multi-wall carbon nanotubes
• W=0 Pairing in $(N,N)$ Carbon Nanotubes away from Half Filling
• Tomonaga-Luttinger features in the resonant Raman spectra of quantum wires
• Local spectral properties of Luttinger liquids: scaling versus nonuniversal energy scales
• Magnetic field effects and renormalization of the long-range Coulomb interaction in Carbon Nanotubes
• The Quantum Steeplechase
• Modelisation of transition and noble metal vicinal surfaces: energetics, vibrations and stability
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• Correlation effects of carbon nanotubes at boundaries: Spin polarization induced by zero-energy boundary states
• Extracting the Luttinger parameter from a single wave function
• Mechanically induced current and quantum evaporation from Luttinger liquids
• Transport properties for a Luttinger liquid wire with Rashba spin-orbit coupling and Zeeman splitting
• Dynamical symmetry enlargement in metallic zigzag carbon nanotubes
• Probing the intrinsic state of a one-dimensional quantum well with a photon-assisted tunneling
• Signature of multilayer graphene strain-controlled domain walls in quantum Hall effect
• Sagnac interference in Carbon nanotubes
• Intersubband Edge Singularity in Metallic Nanotubes
• Decay of a plasmon into neutral modes in a carbon nanotube
• Entropy production in one-dimensional quantum fluids
• CDW Ordering in Stripe Phase of Underdoped Cuprates
• Density-matrix renormalization group method for the conductance of one-dimensional correlated systems using the Kubo formula
• Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
• Persistent currents and magnetic flux trapping in fragments of carbon deposits containing multiwalled nanotubes
• Manipulating the Tomonaga-Luttinger exponent by electric field modulation
• Exact ground-state properties of one-dimensional electron gas at high density
• Temporal Chiral Spiral in Strong Magnetic Fields
• Many-body dispersions in interacting ballistic quantum wires
• 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
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• ESR evidence for disordered magnetic phase from ultra-small carbon nanotubes embedded in zeolite nanochannels
• Transport through multiply connected quantum wires
• Superconductivity in the regime of attractive interactions in the Tomonaga-Luttinger liquid
• Statistics of charge transfer through impurities in strongly correlated 1D metals
• Bell-state preparation for fullerene based electron spins in distant peapod nanotubes
• Modulation of Luttinger liquid exponents in multi-walled carbon nanotubes
• Universal nature of collective plasmonic excitations in finite 1-D carbon-based nanostructures
• Suppression of Coulomb blockade peaks by electronic correlations in InAs nanowires
• Realistic description of electron-energy loss spectroscopy for One-Dimensional Sr${}_2$CuO${}_3$
• Charge transport through weakly open one dimensional quantum wires
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Full characterization of a carbon nanotube parallel double quantum dot
• Symmetry-broken local-density approximation for one-dimensional systems
• Transient effects in the backscattered current of a Luttinger liquid
• Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• Tunneling into a finite Luttinger liquid coupled to noisy capacitive leads
• Transition from Diffusive to Superdiffusive Transport in Carbon Nanotube Networks via Nematic Order Control
• Quantum Berezinskii-Kosterltz-Thouless Transition for Topological Insulator
• Helical Luttinger liquid on the edge of a 2-dimensional topological antiferromagnet
• Linear conductance of an interacting carbon nanotube ring
• Intermediate fixed point in a Luttinger liquid with elastic and dissipative backscattering
• Quantum Impurity in Luttinger Liquid: Universal Conductance with Entanglement Renormalization
• Effect of nonadiabatic switching of dynamic perturbations in 1d Fermi systems
• A Luttinger Liquid coupled to Ohmic-class environments
• Current instability and diamagnetism in small-diameter carbon nanotubes
• Negativity of the excess noise in a quantum wire capacitively coupled to a gate
• Driving a first order quantum phase transition by coupling a quantum dot to a 1D charge density wave
• Two-wire Junction of Inequivalent Tomonaga-Luttinger Liquids
• Transports of Disordered Carbon Nanotubes with Long Range Coulomb Interaction
• Luttinger Liquid Physics in the Superconductor Vortex Core
• Many body effects in finite metallic carbon nanotubes
• Excited-State Wigner Crystals in One Dimension
• Correlation gap in armchair carbon nanotubes
• Multiple crossovers in interacting quantum wires
• Correlation effects for semiconducting single wall carbon nanotube: a density matrix renormalization group study
• Electrodynamics of correlated electron systems
• The Influence of Dimensionality on the Charge Density Wave Transition and Its Application on Mid-infrared Photodetection
• One-dimensional atomic superfluids as a model system for quantum thermodynamics
• Light scattering in inhomogeneous Tomonaga-Luttinger liquids
• Electrical transport properties of small diameter single-walled carbon nanotubes aligned on ST-cut quartz substrates
• Measuring the Luttinger liquid parameter with shot noise
• Tomonaga-Luttinger liquid theory for metallic fullurene polymers
• Instability of sliding Luttinger liquid
• Heating causes non-linear microwave absorption anomaly in single wall carbon nanotubes
• Friedel oscillations and dynamical density of states of an inhomogeneous Luttinger liquid
• Sliding Luttinger liquid with alternating interwire couplings
• Charge accumulation on a Luttinger liquid
• Transport approach to the superconducting proximity effect in carbon nanotubes
• Zeeman splitting of zero-bias anomaly in Luttinger liquids
• Quantum wires with local particle loss: Transport manifestations of fluctuation-induced effects
• Nonmonotonic behavior of resistance in a superconductor-Luttinger liquid junction
• Electronic Structure and Transport in the Potential Luttinger Liquids CsNb${}_3$Br${}_7$S and RbNb${}_3$Br${}_7$S
• Non-thermal Tomonaga-Luttinger liquid eventually emerging from hot electrons in the quantum Hall regime
• Transient Features in Charge Fractionalization, Local Equilibration and Non-equilibrium Bosonization
• Universal Duality in Luttinger Liquid Coupled to Generic Environment
• Exciton Quasi-Condensation in One Dimensional Systems
• 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
• Generic short-range interactions in two-leg ladders
• Correlation effects on electronic transport through dots and wires
• Functional Renormalization-Group Analysis of Luttinger Liquids with Impurities
• Wire width and density dependence of the crossover in the peak of the static structure factor from $2k_{\text{F}}$ $\to$ $4k_{\text{F}}$ in one-dimensional paramagnetic electron gases
• Lattice deformation on flat-band modulation in 3D Hopf-linked carbon allotrope: Hopfene
• Transport through the intertube link between two parallel carbon nanotubes
• Non-perturbative approach to backscattering off a dynamical impurity in 1D Fermi systems
• Transport properties of a Luttinger liquid with a cluster of impurities
• Currents and correlations in Luttinger liquids and carbon nanotubes at finite temperature and size: a bosonization study
• Magnetic impurity effects in metallic carbon nanotubes: local non-Fermi liquid theory
• Study of the charge correlation function in one-dimensional Hubbard heterostructures
• Density-matrix renormalization group study of the linear conductance in quantum wires coupled to interacting leads or phonons
• Observation of spin-charge separation and boundary bound states via the local density of states
• Mechanical resonances of mobile impurities in a one-dimensional quantum fluid
• Electron-electron interaction effects on transport through mesoscopic superconducting hybrid junctions
• Infrared Spectroscopy of Quantum Crossbars
• Static and dynamic image potential for tunneling into a Luttinger liquid
• One-dimensional conductance through an arbitrary potential
• Nonequilibrium plasmons and transport properties of a double--junction quantum wire
• Linear current fluctuations in the power-law region of metallic carbon nanotubes
• Density of states anomalies in multichannel quantum wires
• Bardeen-Cooper-Schrieffer formalism of superconductivity in carbon nanotubes
• Efficient heat-energy conversion from a non-thermal Tomonaga-Luttinger liquid
• Conductance of inhomogeneous Luttinger liquids with a finite bandwidth
• The threshold effects in one-dimensional strongly-interacting systems out of equilibrium
• Kinetic processes in Fermi-Luttinger liquids
• Tunneling density of states in a Y junction of Tomonaga-Luttinger liquid wires: A density matrix renormalization group study
• Creation and detection of mobile and non-local spin-entangled electrons
• Semiconductor nanodevices as a probe of strong electron correlations
• Scattering of plasmons at the intersection of two metallic nanotubes: Implications for tunnelling
• Momentum distribution and tunneling density of states of one-dimensional Fermonic SU(N) Hubbard model
• Observation of impedance oscillations in single walled carbon nanotube bundles excited by high frequency signals
• Charge and spin density in the helical Luttinger liquid
• Probing e-e interactions in a periodic array of GaAs quantum wires
• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• Driven Spin-Boson Luttinger Liquids
• Extended quasiparticle Padé approximation for non-Fermi liquids
• Weak localization and magnetoresistance in a two-leg ladder model
• Aharonov-Bohm effect in circular carbon nanotubes
• Graphene-driven correlated electronic states in one dimensional defects within WS${}_2$
• Luttinger liquid behavior in tunneling through a quantum dot at zero magnetic field
• Tunable reciprocal and nonreciprocal contributions to 1D Coulomb Drag
• Quantum Coherent Transport of 1D ballistic states in second order topological insulator Bi${}_4$Br${}_4$
• Paraconductivity in Carbon Nanotubes
• Quasi-1D Coulomb drag between spin-polarized quantum wires
• Transient and finite size effects in transport properties of a quantum wire
• Nonmonotonic plasmon dispersion in strongly interacting Coulomb Luttinger liquids
• Ultraviolet Probing of Quantum Crossbars
• Linear response of one-dimensional liquid ${}^4$He to external perturbations
• Interference in transport through double barriers in interacting quantum wires
• SET based experiments for HTSC materials: II
• dc Josephson Effect in Metallic Single-Walled Carbon Nanotubes
• Influence of dimensionality on superconductivity in carbon nanotubes
• Fractional quantum Hall junctions and two-channel Kondo models
• Strong correlation effects in single-wall carbon nanotubes
• Density of states of interacting quantum wires with impurities: a Dyson equation approach
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Landau Damping in a 2D Electron Gas with Imposed Quantum Grid
• On Superconductivity of One-Dimensional Channel with Strong Electron-Electron Interaction
• Tunneling exponents sensitive to impurity scattering in quantum wires
• Consequences of the Inherent Density Dependence in Dirac Materials
• Ta2Pd3Te5 topological thermometer
• Quasi-one-dimensional electron gas bound to a helium-coated nanotube
• 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
• Non-Markovian transients in transport across chiral quantum wires using space-time non-equilibrium Green functions
• Catalog of cubic, symmetry-protected, non-Fermi liquid, Kondo-type exchange models for doublet impurities
• Robust Luttinger liquid state of 1D Dirac fermions in a van der Waals system Nb${}_9$Si${}_4$Te${}_{18}$
• On Hydrodynamic Correlations in Low-Dimensional Interacting Systems
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities
• On the visibility of electron-electron interaction effects in field emission spectra
• Correlated insulating states in carbon nanotubes controlled by magnetic field
• Emerging one-dimensionality from self-organization of electrons in NbSe${}_3$
• Intertube effects on one-dimensional correlated state of metallic single-wall carbon nanotubes probed by 13C NMR
• Quantum criticality in a Mott pn-junction in an armchair carbon nanotube
• One-dimensional Hubbard-Luttinger model for carbon nanotubes
• Electronic quantum wires in extended quasiparticle picture
• One-dimensional extended Hubbard model with soft-core potential
• Tunneling between two systems of interacting chiral fermions
• Metal-to-insulator transition in Pt-doped TiSe${}_2$ driven by emergent network of narrow transport channels
• Theoretical study of interacting electrons in one dimension - ground states and experimental signatures
• Effects of a single impurity in a Luttinger liquid with spin-orbit coupling
• Carrier mean free path and temperature imbalance in mesoscopic wires
• Recent advances in the internal functionalization of carbon nanotubes: synthesis, optical, and magnetic resonance studies
• Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations
• Anomalous screening in narrow-gap carbon nanotubes
• Coupled quantum wires
• Breakdown of classical electrostatics in the depolarization of quantum wires and nanotubes
• Current facilitation by plasmon resonances between parallel wires of finite length
• Impact of spin-orbit coupling on electron correlation corrections to the density of states in anisotropic conductors
• Recent progress in parallel fabrication of individual single walled carbon nanotube devices
• Off-shell selfenergy for 1-D Fermi liquids
• Submergence of the Sidebands in the Photon-assisted Tunneling through a Quantum Dot Weakly Coupled to Luttinger Liquid Leads
• Tunneling exponents in realistic quantum wires using the mean field approximation
• Ground state correlations in the one-dimensional Fermi one-component plasma
• Resonant Raman Scattering of Interacting Two-Channel Quantum Wires
• Nearly Free Electron States in Graphene Nanoribbon Superlattices
• Bosonization in $R$-paraparticle Luttinger models
• Spin and thermal current scaling at a $Y$-junction of XX spin chains
• Binding and spontaneous condensation of excitons in narrow-gap carbon nanotubes
• Low-dimensional quantum systems
• Origin of dimensional crossover in quasi-one-dimensional hollandite K${}_2$Ru${}_8$O${}_{16}$
• Coulomb-enhanced resonance transmission of quantum SINIS junctions
• Dominant end-tunneling effect in two distinct Luttinger liquids coexisting in one quantum wire
• Universal point contact resistance between thin-film superconductors
• Oscillator Strength of Metallic Carbon Nanotubes
• Confinement Phase in Carbon-Nanotubes and the Extended Massive Schwinger Model
• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction
• Renormalization of the Coulomb blockade gap due to extended tunneling in nanoscopic junctions