Minimal alternating current injection into carbon nanotubes
arXiv:2307.11943 · doi:10.1103/PhysRevB.108.125307
Abstract
We study theoretically the effect of electronic interactions in 1d systems on electron injection using periodic Lorentzian pulses, known as Levitons. We consider specifically a system composed of a metallic single-wall carbon nanotube, described with the Luttinger liquid formalism, a scanning tunneling microscope (STM) tip, and metallic leads. Using the out-of-equilibrium Keldysh Green function formalism, we compute the current and current noise in the system. We prove that the excess noise vanishes when each Leviton injects an integer number of electrons from the STM tip into the nanotube. This extends the concept of minimal injection with Levitons to strongly correlated, uni-dimensional non-chiral systems. We also study the time-dependent current profile, and show how it is the result of interferences between pulses non-trivially reflected at the nanotube-lead interface.
arXiv comment14 pages, 6 figures
References in corpus (42)
- Topological orders and Edge excitations in FQH states
- Electron Counting Statistics and Coherent States of Electric Current
- Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
- Landauer Conductance of Luttinger Liquids with Leads
- Transport in an inhomogeneous interacting one--dimensional system
- An On-Demand Coherent Single Electron Source
- Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
- Is there a renormalization of the 1D conductance in Luttinger Liquid model?
- Electrons surfing on a sound wave as a platform for quantum optics with flying electrons
- On-demand single-electron transfer between distant quantum dots
- Probing spin-charge separation in a Tomonaga-Luttinger liquid
- Coherent control of single electrons: a review of current progress
- Minimal excitation states of electrons in one-dimensional wires
- Electron quantum optics in ballistic chiral conductors
- Correlated transport and non-Fermi liquid behavior in single-wall carbon nanotubes
- Coherent States of Alternating Current,
- Electron quantum optics : partitioning electrons one by one
- Fractional excitations in the Luttinger liquid
- Integer and fractional charge Lorentzian voltage pulses analyzed in the frame of Photon-assisted Shot Noise
- Electron quantum optics in quantum Hall edge channels
- Luttinger-liquid-like transport in long InSb nanowires
- Electronic Properties of Armchair Carbon Nanotubes : Bosonization Approach
- Minimal excitations in the fractional quantum Hall regime
- Electron injection in a nanotube: noise correlations and entanglement
- Energy and power fluctuations in ac-driven coherent conductors
- Andreev reflection in the fractional quantum Hall effect
- Electron injection in a nanotube with leads: finite frequency noise-correlations and anomalous charges
- Dynamical generation and detection of entanglement in neutral leviton pairs
- Conductance of one-dimensional quantum wires
- Taming electronic decoherence in 1D chiral ballistic quantum conductors
- Andreev reflection of fractional quantum Hall quasiparticles
- Minimal-excitation single-particle emitters: A comparison of charge and energy transport properties
- Quasiparticle Andreev scattering in the fractional quantum Hall regime
- Finite size effects, super-and sub-poissonian noise in a nanotube connected to leads
- Charge Fractionalization in Artificial Tomonaga-Luttinger Liquids with Controlled Interaction Strength
- Quantum theory of an electron waiting time clock
- Time-Domain Spectroscopy of Mesoscopic Conductors Using Voltage Pulses
- High-temperature fusion of a multi-electron leviton
- Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: I. Spectral properties
- Spectral properties of interacting helical channels driven by Lorentzian pulses
- Screening of a Luttinger liquid wire by a scanning tunneling microscope tip: II. Transport properties
- Coherent Transport of Levitons Through the Kondo Resonance
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- Levitons in correlated nano-scale systems
- Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect
- Quantum transport phenomena induced by time-dependent fields
- Floquet-Nambu theory of electron quantum optics with superconductors
- On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses