Electron injection in a nanotube: noise correlations and entanglement
arXiv:cond-mat/0209291 · doi:10.1103/PhysRevB.67.205408
Abstract
Transport through a metallic carbon nanotube is considered, where electrons are injected in the bulk by a scanning tunneling microscope tip. The charge current and noise are computed both in the absence and in the presence of one dimensional Fermi liquid leads. For an infinite homogeneous nanotube, the shot noise exhibits effective charges different from the electron charge. Noise correlations between both ends of the nanotube are positive, and occur to second order only in the tunneling amplitude. The positive correlations are symptomatic of an entanglement phenomenon between quasiparticles moving right and left from the tip. This entanglement involves many body states of the boson operators which describe the collective excitations of the Luttinger liquid.
12 pages, 2 figures
References in corpus (12)
- Quantum entanglement in carbon nanotubes
- Superconductor coupled to two Luttinger liquids as an entangler for electron spins
- Full Counting Statistics of a Superconducting Beam Splitter
- Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions
- Single Carbon Nanotube--Superconductor Entangler: noise correlations and EPR states
- Klein Factors in multiple Fractional Quantum Hall edge tunneling
- Very low shot noise in carbon nanotubes
- Conductance of one-dimensional quantum wires
- Positive cross-correlations induced by ferromagnetic contacts
- Coulomb drag shot noise in coupled Luttinger liquids
- Reflectionless tunneling in ballistic normal-metal--superconductor junctions
- Broken symmetry, hyper-fermions, and universal conductance in transport through a fractional quantum Hall edge
Cited by in corpus (43)
- Quantum entanglement in condensed matter systems
- Carbon Nanotubes as Cooper Pair Beam Splitters
- Positive cross-correlations in a three-terminal quantum dot with ferromagnetic contacts
- Tunable Noise Cross-Correlations in a Double Quantum Dot
- Photo--assisted current and shot noise in the fractional quantum Hall effect
- Dynamical Spin-Blockade in a quantum dot with paramagnetic leads
- Cooper-Pair Injection into Quantum Spin Hall Insulators
- AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
- Electron injection in a nanotube with leads: finite frequency noise-correlations and anomalous charges
- Electron tunneling into a quantum wire in the Fabry-Perot regime
- Space-time velocity correlation function for random walks
- Junctions of multiple quantum wires with different Luttinger parameters
- An electrical probe for mechanical vibrations in suspended carbon nanotubes
- Transport theory of carbon nanotube Y junctions
- Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
- Finite size effects, super-and sub-poissonian noise in a nanotube connected to leads
- Noninvasive Probe of Charge Fractionalization in Quantum Spin-Hall Insulators
- Transient dynamics of spin-polarized injection in helical Luttinger liquids
- Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
- Mesoscopic versus Macroscopic division of current fluctuations
- Crossed Andreev Re ection in Quantum Wires with Strong Spin-Orbit Interaction
- Nonequilibrium noise correlations in a point contact of helical edge states
- Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: I. Spectral properties
- Time-controlled charge injection in a quantum Hall fluid
- Feedback effects on the current correlations in Y-shaped conductors
- Entangled Hanbury Brown Twiss effects with edge states
- Spectral properties of interacting helical channels driven by Lorentzian pulses
- Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids
- Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: II. Transport properties
- Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
- Coherent control of thermoelectric currents and noise in quantum thermocouples
- Minimal alternating current injection into carbon nanotubes
- Detecting Spin Transport in Quantum Magnets with Photons
- Quantum spin pumping at fractionally quantized magnetization state for a system with competing exchange interactions
- Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields
- Density of states of interacting quantum wires with impurities: a Dyson equation approach
- dc Josephson Effect in Metallic Single-Walled Carbon Nanotubes
- Effects of decoherence on the shot noise in carbon nanotubes
- Photo-assisted heat current and Peltier coefficient in a metal/dot/metal junction
- Quantum statistics and self-interference in extended colliders
- Getting information from the mixed electrical-heat noise
- Extrinsic thermoelectric response of coherent conductors
- Renormalization flow of a weak extended backscattering Hamiltonian in a non-chiral Tomonaga-Luttinger liquid