Quantum transport in carbon nanotubes

Abstract

Carbon nanotubes are a versatile material in which many aspects of condensed matter physics come together. Recent discoveries, enabled by sophisticated fabrication, have uncovered new phenomena that completely change our understanding of transport in these devices, especially the role of the spin and valley degrees of freedom. This review describes the modern understanding of transport through nanotube devices. Unlike conventional semiconductors, electrons in nanotubes have two angular momentum quantum numbers, arising from spin and from valley freedom. We focus on the interplay between the two. In single quantum dots defined in short lengths of nanotube, the energy levels associated with each degree of freedom, and the spin-orbit coupling between them, are revealed by Coulomb blockade spectroscopy. In double quantum dots, the combination of quantum numbers modifies the selection rules of Pauli blockade. This can be exploited to read out spin and valley qubits, and to measure the decay of these states through coupling to nuclear spins and phonons. A second unique property of carbon nanotubes is that the combination of valley freedom and electron-electron interactions in one dimension strongly modifies their transport behaviour. Interaction between electrons inside and outside a quantum dot is manifested in SU(4) Kondo behavior and level renormalization. Interaction within a dot leads to Wigner molecules and more complex correlated states. This review takes an experimental perspective informed by recent advances in theory. As well as the well-understood overall picture, we also state clearly open questions for the field. These advances position nanotubes as a leading system for the study of spin and valley physics in one dimension where electronic disorder and hyperfine interaction can both be reduced to a very low level.

In press at Reviews of Modern Physics. 68 pages, 55 figures

References in corpus (65)

• The electronic properties of graphene
• Ultrahigh electron mobility in suspended graphene
• Control of graphene's properties by reversible hydrogenation
• Suspended Graphene: a bridge to the Dirac point
• Driven coherent oscillations of a single electron spin in a quantum dot
• A tunable carbon nanotube electromechanical oscillator
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Weak localisation magnetoresistance and valley symmetry in graphene
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Spin-charge separation and localization in one-dimension
• Orbital Kondo effect in carbon nanotubes
• Carbon nanotubes as ultra-high quality factor mechanical resonators
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Kondo effect in quantum dots coupled to ferromagnetic leads
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Kondo effect in quantum dots
• Spin-echo of a single electron spin in a quantum dot
• Electric-field controlled spin reversal in a quantum dot with ferromagnetic contacts
• Nonequilibrium Singlet-Triplet Kondo Effect in Carbon Nanotubes
• Large spin-orbit coupling in carbon nanotubes
• Spin-orbit interaction and anomalous spin relaxation in carbon nanotube quantum dots
• Tunable few-electron double quantum dots and Klein tunnelling in ultra-clean carbon nanotubes
• Suppression of spin relaxation in an InAs nanowire double quantum dot
• Hyperfine interaction and electron-spin decoherence in graphene and carbon nanotube quantum dots
• Valley-spin blockade and spin resonance in carbon nanotubes
• Hyperfine Interactions in Graphene and Related Carbon Nanostructures
• Nanospintronics with carbon nanotubes
• SU(4) and SU(2) Kondo Effects in Carbon Nanotube Quantum Dots
• Gate-controlled spin-splitting in quantum dots with ferromagnetic leads in the Kondo regime
• Electronic Transport Spectroscopy of Carbon Nanotubes in a Magnetic Field
• Evolution of SU(4) Transport Regimes in Carbon Nanotube Quantum Dots
• Bends In Nanotubes Allow Electric Spin Control and Coupling
• Kondo Effects in Carbon Nanotubes: From SU(4) to SU(2) symmetry
• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• Molecular states in carbon nanotube double quantum dots
• Zero-bias conductance in carbon nanotube quantum dots
• Excited state spectroscopy in carbon nanotube double quantum dots
• All-Optical Manipulation of Electron Spins in Carbon-Nanotube Quantum Dots
• Coupling carbon nanotube mechanics to a superconducting circuit
• Spin-orbit interaction in chiral carbon nanotubes probed in pulsed magnetic fields
• Coherent Adiabatic Spin Control in the Presence of Charge Noise Using Tailored Pulses
• Coulomb versus spin-orbit interaction in few-electron carbon-nanotube quantum dots
• Kondo effect in carbon nanotube quantum dots with spin-orbit coupling
• Electron spin resonance signal of Luttinger liquids and single-wall carbon nanotubes
• Tunable Kondo physics in a carbon nanotube double quantum dot
• Few-electron physics in a nanotube quantum dot with spin-orbit coupling
• Resonant harmonic generation and collective spin rotations in electrically driven quantum dots
• Singlet-Triplet Physics and Shell Filling in Carbon Nanotube Double Quantum Dots
• Magnetic-Field Dependence of Tunnel Couplings in Carbon Nanotube Quantum Dots
• Fabry-Perot interference, Kondo effect and Coulomb blockade in carbon nanotubes
• The spectrum of interacting metallic carbon nanotubes: Exchange effects and universality
• The low energy spectrum of finite size metallic SWNTs
• Defect-induced multicomponent electron scattering in single-walled carbon nanotubes
• Electron spin relaxation in semiconducting carbon nanotubes: the role of hyperfine interaction
• Carbon Nanostructures as an Electromechanical Bicontinuum
• Real Time Electron Tunneling and Pulse Spectroscopy in Carbon Nanotube Quantum Dots
• Controlled fabrication of single electron transistors from single-walled carbon nanotubes
• Direct observation of band-gap closure for a semiconducting carbon nanotube in a large parallel magnetic field
• Electrically driven spin resonance in a bent disordered carbon nanotube
• Electron spin relaxation via flexural phonon modes in semiconducting carbon nanotubes
• Anomalous magnetization of a carbon nanotube as an excitonic insulator
• Cotunneling renormalization in carbon nanotube quantum dots

Cited by in corpus (170)

• Semiconductor Spin Qubits
• Coherent control of single electrons: a review of current progress
• Imaging electrostatically confined Dirac fermions in graphene quantum dots
• Cavity-enhanced transport of charge
• Nanomechanical Resonators: Toward Atomic Scale
• Bloch oscillations in the absence of a lattice
• Linear Scaling Quantum Transport Methodologies
• Strongly correlated photon transport in waveguide QED with weakly coupled emitters
• Three-electron spin qubits
• Kondo effect and spin-orbit coupling in graphene quantum dots
• Carbon nanotubes as excitonic insulators
• 3D hinge transport in acoustic higher-order topological insulators
• Strongly-coupled nanotube electromechanical resonators
• Orbital contributions to the electron g-factor in semiconductor nanowires
• Cooling and Self-Oscillation in a Nanotube Electro-Mechanical Resonator
• Strong coupling between an electron in a quantum dot circuit and a photon in a cavity
• Cavity-assisted mesoscopic transport of fermions: Coherent and dissipative dynamics
• Electric-field dependent g-factor anisotropy in Ge-Si core-shell nanowire quantum dots
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• 0-$\pi$ quantum transition in a carbon nanotube Josephson junction: universal phase dependence and orbital degeneracy
• Particle-hole symmetry protects spin-valley blockade in graphene quantum dots
• Highly coherent spin states in carbon nanotubes coupled to cavity photons
• Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space
• Nonlinear nanomechanical resonators approaching the quantum ground state
• Observation of the frozen charge of a Kondo resonance
• Dark states in a carbon nanotube quantum dot
• Anisotropic Pauli spin blockade in hole quantum dots
• Quantum Wires and Waveguides Formed in Graphene by Strain
• Control of valley dynamics in silicon quantum dots in the presence of an interface step
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Quantum Fluctuations along Symmetry Crossover in Kondo-correlated Quantum Dot
• Guiding Dirac fermions in graphene with a carbon nanotube
• Quantum capacitance mediated carbon nanotube optomechanics
• Signatures of the Current Blockade Instability in Suspended Carbon Nanotubes
• Angular momentum and topology in semiconducting single-wall carbon nanotubes
• Probing two-electron multiplets in bilayer graphene quantum dots
• Vibrational effects in charge transport through a molecular double quantum dot
• Majorana quasiparticles in semiconducting carbon nanotubes
• Layering transitions in superfluid helium adsorbed on a carbon nanotube mechanical resonator
• Palladium gates for reproducible quantum dots in silicon
• Spin filtering in all-electrical three-terminal interferometers
• Magnetic nanotubes: A new material platform to realize robust spin-Seebeck effect and perfect thermal spin-filtering effect
• Shaping electron wave functions in a carbon nanotube with a parallel magnetic field
• Highly tuneable hole quantum dots in Ge-Si core-shell nanowires
• Nanomechanical characterization of the Kondo charge dynamics in a carbon nanotube
• Giant modulation of the electronic band gap of carbon nanotubes by dielectric screening
• Microwave spectroscopy of a carbon nanotube charge qubit
• Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
• RG transport theory for open quantum systems: Charge fluctuations in multilevel quantum dots in and out of equilibrium
• Topological superconductivity in carbon nanotubes with a small magnetic flux
• Strong-field-driven dynamics and high-harmonic generation in interacting 1D systems
• Hyperfine and spin-orbit coupling effects on decay of spin-valley states in a carbon nanotube
• Emission Noise and High Frequency Cut-Off of the Kondo Effect in a Quantum Dot
• The two classes of low energy spectra in finite carbon nanotubes
• Mode coupling, bi-stability, and spectral broadening in buckled nanotube resonators
• Blocking transport resonances via Kondo entanglement in quantum dots
• Coulomb Drag between a Carbon Nanotube and Monolayer Graphene
• Paired electron motion in interacting chains of quantum dots
• Wigner crystal phases in confined carbon nanotubes
• Quantum entanglement driven by electron-vibrational mode coupling
• Control of the Two-Electron Exchange Interaction in a Nanowire Double Quantum Dot
• Topology and zero energy edge states in carbon nanotubes with superconducting pairing
• Photon-assisted tunneling and charge dephasing in a carbon nanotube double quantum dot
• Fermi liquid theory for nonlinear transport through a multilevel Anderson impurity
• Fabry-Pérot oscillations in correlated carbon nanotubes
• Spin-orbital and spin Kondo effects in parallel coupled quantum dots
• Quantum control beyond the adiabatic regime in 2D curved matter-wave guides
• Secondary electron interference from trigonal warping in clean carbon nanotubes
• Mechanically induced two-qubit gates and maximally entangled states for single electron spins in a carbon nanotube
• Electrical control of spins and giant g-factors in ring-like coupled quantum dots
• Electron-phonon coupling in metallic carbon nanotubes: Dispersionless electron propagation despite dissipation
• Kondo effect in a carbon nanotube with spin-orbit interaction and valley mixing: A DM-NRG study
• Feynman-Vernon influence functional approach to quantum transport in interacting nanojunctions: An analytical hierarchical study
• Weak-measurement-induced asymmetric dephasing: manifestation of intrinsic measurement chirality
• Field-induced SU(4) to SU(2) Kondo crossover in a half-filling nanotube dot: spectral and finite-temperature properties
• Topologically protected, correlated end spin formation in carbon nanotubes
• Spatial structure of correlations around a quantum impurity at the edge of a two-dimensional topological insulator
• Non-Destructive Low-Temperature Contacts to MoS2 Nanoribbon and Nanotube Quantum Dots
• Electrostatic quantum dot confinement in phosphorene
• Coulomb Blockade Spectroscopy of a ${\mathrm{MoS}}_2$ Nanotube
• All-electrical production of spin-polarized currents in carbon nanotubes: Rashba spin-orbit interaction
• Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures
• Dispersive readout of reconfigurable ambipolar quantum dots in a silicon-on-insulator nanowire
• Non-collinear spin-orbit magnetic fields in a carbon nanotube double quantum dot
• Einstein-de Haas Nanorotor
• Current noise and Keldysh vertex function of an Anderson impurity in the Fermi liquid regime
• Field-Enhanced Kondo Correlations in a Half-Filling Nanotube Dot: Evolution of an SU(N) Fermi-Liquid Fixed Point
• The $SU(4)-SU(2)$ crossover and spin filter properties of a double quantum dot nanosystem
• Equilibration in closed quantum systems: Application to spin qubits
• Metallic Carbon Nanotube Quantum Dots with Broken Symmetries as a Platform for Tunable Terahertz Detection
• Measuring carbon nanotube vibrations using a single-electron transistor as a fast linear amplifier
• Electronic transport in bent carbon nanotubes
• Short time dynamics of molecular junctions after projective measurement
• Low-temperature environments for quantum computation and quantum simulation
• Coulomb-blockade and Pauli-blockade magnetometry
• Double quantum dots defined in bilayer graphene
• Nonlinear Fermi-liquid transport through a quantum dot in asymmetric tunnel junctions
• Spin and valley manipulation in single and double electrostatic silicene quantum dots
• Giant Electron-hole Charging Energy Asymmetry in Ultra-short Carbon Nanotubes
• Spin-dependent electron transmission across the corrugated graphene
• Coherent electron transport in a helical nanotube
• Transient currents of a single molecular junction with a vibrational mode
• Intra- and inter-shell Kondo effects in carbon nanotube quantum dots
• Stability of long-sustained oscillations induced by electron tunneling
• Nanoscale magnetic resonance spectroscopy using a carbon nanotube double quantum dot
• Helical liquid in carbon nanotubes wrapped with DNA molecules
• Full characterization of a carbon nanotube parallel double quantum dot
• Charge pumping in strongly-coupled molecular quantum dots
• A unified diagrammatic approach to quantum transport in few-level junctions for bosonic and fermionic reservoirs: Application to the quantum Rabi model
• Average scattering entropy of quantum graphs
• Self-driven oscillation in Coulomb blockaded suspended carbon nanotubes
• Scalable nuclear-spin entanglement mediated by a mechanical oscillator
• Interaction-driven giant orbital magnetic moments in carbon nanotubes
• Towards carbon nanotube growth into superconducting microwave resonator geometries
• A Polymeric Planarization Strategy for Versatile Multi-terminal Electrical Transport Studies on Small, Bulk Quantum Materials
• Anomalous Luttinger equivalence between temperature and curved spacetime: From black hole's atmosphere to thermal quenches
• Microsecond-lived quantum states in a carbon-based circuit driven by cavity photons
• Magnetic and geometric effects on the electronic transport of metallic nanotubes
• Supercurrent and phase slips in a ballistic carbon nanotube embedded into a van der Waals heterostructure
• Quantum Interference in Silicon 1D Quasi-Ballistic Junctionless Nanowire Field Effect Transistors
• Lifting the Franck-Condon blockade in driven quantum dots
• SU(2)-SU(4) Kondo Crossover and Emergent Electric Polarization in a Triangular Triple Quantum Dot
• Spin-orbit interaction in bent carbon nanotubes: resonant spin transitions
• Quantum noise in carbon nanotubes as a probe of correlations in the Kondo regime
• Valley current filtering and reversal by parallel side contacted armchair nanotubes
• Transport and localization of light inside a dye-filled microcavity
• Confined Electron and Hole States in Semiconducting Carbon Nanotube sub-10 nm Artificial Quantum Dots
• Spin inversion in fluorinated graphene n-p junction
• Spin-valley resolved photon-assisted tunneling in carbon nanotube double quantum dots
• Magnetic field control of the Franck-Condon coupling of few-electron quantum states
• Role of bias and tunneling asymmetries in nonlinear Fermi-liquid transport through an SU($N$) quantum dot
• Influence of electron-phonon coupling on low temperature phases of metallic single-wall carbon nanotubes
• Carbon Nanotube Millikelvin Transport and Nanomechanics
• Josephson junctions based on ultraclean carbon nanotubes
• Zero energy states clustering in an elemental nanowire coupled to a superconductor
• Spin-valley dynamics of electrically driven ambipolar carbon-nanotube quantum dots
• Collapse of the Josephson emission in a carbon nanotube junction in the Kondo regime
• Polarized SERS of individual suspended carbon nanotubes by Pt-Re nanoantennas
• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• Stepwise fabrication and optimization of coplanar waveguide resonator hybrid devices
• Nanotube Double Quantum Dot Spin Transducer for Scalable Quantum Information Processing
• Antisymmetric Spin-Orbit Coupling Effect on Kondo-Induced Electric Polarization in a Triangular Triple Quantum Dot
• From Transparent Conduction to Coulomb Blockade at Fixed Hole Number
• Thermoelectric cooling of a finite reservoir coupled to a quantum dot
• Quantum transport phenomena induced by time-dependent fields
• Sagnac Electron Interference as a Probe of Electronic Structure
• Unhiding a concealed resonance by multiple Kondo transitions in a quantum dot
• Staggered spin-orbit interaction in a nanoscale device
• Kondo Temperature Evaluated from Linear Conductance in Magnetic Fields
• Electronic structure of (1e,1h) states of carbon nanotube quantum dots
• Coupling of shells in a carbon nanotube quantum dot
• Nagaoka spin-valley ordering in silicene quantum dots
• Optomechanical coupling and damping of a carbon nanotube quantum dot
• Correlated insulating states in carbon nanotubes controlled by magnetic field
• Nonreciprocal plasmons in one-dimensional carbon nanostructures
• Mean--field stability for the junction of quasi 1D systems with Coulomb interactions
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model
• Interlayer Conductance in the Armchair Nanotube -- Zigzag Graphene Ribbon Parallel Contact: Theoretical Proposal of Detection of Wavefunction Growing from the Edge to the Center in the Graphene Ribbon
• Anomalous screening in narrow-gap carbon nanotubes
• Carbon nanotubes for polarization sensitive terahertz plasmonic interferometry
• Steady-state dc transport through an Anderson impurity coupled to leads with spin-orbit coupling
• Edge density of bulk states due to relativity
• DECaNT: Simulation Tool for Diffusion of Excitons in Carbon Nanotube Films
• Distinct effect of Kondo physics on crystal field splitting in electron and spin spectroscopies
• Binding and spontaneous condensation of excitons in narrow-gap carbon nanotubes
• Spin-photon coupling using circular double quantum dots
• Emergent electronic insulating states in a one-dimensional moiré superlattice
• Fractional shot noise of an SU(N) Kondo system
• Substrate-dependent electrical transport in individual single-walled carbon nanotubes grown across SiO${}_2$ and hexagonal boron nitride
• Electrical control of the metal-insulator transition in a one dimensional device