Interaction effects on counting statistics and the transmission distribution
arXiv:cond-mat/0304078 · doi:10.1103/PhysRevLett.91.136802
Abstract
We investigate the effect of weak interactions on the full counting statistics of charge transfer through an arbitrary mesoscopic conductor. We show that the main effect can be incorporated into an energy dependence of the transmission eigenvalues and study this dependence in a non-perturbative approach. An unexpected result is that all mesoscopic conductors behave at low energies like either a single or a double tunnel junction, which divides them into two broad classes.
4 pages, 2 figures
References in corpus (2)
Cited by in corpus (61)
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Towards full counting statistics for the Anderson impurity model
- A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
- Heat Coulomb Blockade of One Ballistic Channel
- Tomonaga-Luttinger physics in electronic quantum circuits
- Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
- Nonequilibrium theory of Coulomb blockade in open quantum dots
- Full counting statistics of strongly non-Ohmic transport through single molecules
- Dynamical Coulomb Blockade of Shot Noise
- Over-Bias Light Emission due to Higher Order Quantum Noise of a Tunnel Junction
- Full Counting Statistics of Interacting Electrons
- Full counting statistics for the Kondo dot
- Electron transport and current fluctuations in short coherent conductors
- Full Current Statistics in the Regime of Weak Coulomb Interaction
- Strong back-action of a linear circuit on a single electronic quantum channel
- Statistics of current fluctuations at non-zero frequencies
- The Keldysh action of a multi-terminal time-dependent scatterer
- Spin-induced charge correlations in transport through interacting quantum dots with ferromagnetic leads
- Quantum Coherent Multielectron Processes in an Atomic Scale Contact
- Feedback of the electromagnetic environment on current and voltage fluctuations out of equilibrium
- AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
- Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer
- Mixed, charge and heat noises in thermoelectric nanosystems
- Experimental Test of the Dynamical Coulomb Blockade Theory for Short Coherent Conductors
- Perturbative fluctuation dissipation relation for non-equilibrium finite frequency noise in quantum circuits
- Majorana zero modes choose Euler numbers - revealed by full counting statistics
- Dynamical Coulomb blockade under a temperature bias
- Transport of interacting electrons in arrays of quantum dots and diffusive wires
- Current fluctuations of an interacting quantum dot
- One-channel conductor coupled to a quantum of resistance: exact ac conductance and finite-frequency noise
- Full Counting Statistics and Field Theory
- Fluctuations of the Josephson current and electron-electron interactions in superconducting weak links
- Full counting statistics of chiral Luttinger liquids with impurities
- Quantum Tunneling Detection of Two-photon and Two-electron Processes
- Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
- Dynamical Coulomb blockade theory of plasmon-mediated light emission from a tunnel junction
- Dynamical Coulomb blockade of multiple Andreev reflections
- N-particle scattering matrix for electrons interacting on a quantum dot
- Interacting electrodynamics of short coherent conductors in quantum circuits
- Full Current Statistics of Incoherent "Cold Electrons"
- Dynamical Coulomb Blockade in an interacting 1D system coupled to an arbitrary environment
- Electron-photon interaction in a quantum point contact coupled to a microwave resonator
- Quantum Properties of the radiation emitted by a conductor in the Coulomb Blockade Regime
- Non-equilibrium theory of charge qubit decoherence in the quantum point contact measurement
- Shot noise and Coulomb blockade of Andreev reflection
- Measurement of high order current correlators
- Nonequilibrium noise and current fluctuations at the superconducting phase transition
- Temperature and magnetic-field dependence of the quantum corrections to the conductance of a network of quantum dots
- Universal Duality in Luttinger Liquid Coupled to Generic Environment
- Current fluctuations in composite conductors: Beyond the second cumulant
- Wave Function Collapse in a Mesoscopic Device
- Superconductor-insulator transition in capacitively coupled superconducting nanowires
- Scattering matrix approach to interacting electron transport
- Full Counting Statistics in Quantum Contacts
- Weak localization, Aharonov-Bohm oscillations and decoherence in arrays of quantum dots
- Non-classical current noise and light emission of an ac-driven tunnel junction
- High-order current correlation functions in Kondo systems
- Quantum Coherent Transport of 1D ballistic states in second order topological insulator BiBr
- Photon-assisted Dynamical Coulomb Blockade in a Tunnel Junction
- Current noise and Coulomb effects in superconducting contacts