Direct link between Coulomb blockade and shot noise in a quantum coherent structure

Abstract

We analyze the current-voltage characteristic of a quantum conduction channel coupled to an electromagnetic environment of arbitrary frequency-dependent impedance. In the weak blockade regime the correction to the ohmic behavior is directly related to the channel current fluctuations vanishing at perfect transmission in the same way as shot noise. This relation can be generalized to describe the environmental Coulomb blockade in a generic mesoscopic conductor coupled to an external impedance, as the response of the latter to the current fluctuations in the former.

12 pages, 2 figures, submitted to Phys. Rev. Lett

Cited by in corpus (48)

• 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
• Interaction effects on counting statistics and the transmission distribution
• Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
• Nonequilibrium theory of Coulomb blockade in open quantum dots
• Dynamical Coulomb Blockade of Shot Noise
• Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit
• Positive noise cross-correlations in superconducting hybrids: Roles of interfaces and interactions
• Fluctuation-Dissipation Relations of a Tunnel Junction Driven by a Quantum Circuit
• Electron transport through interacting quantum dots
• Statistics of current fluctuations at non-zero frequencies
• Strong back-action of a linear circuit on a single electronic quantum channel
• Electron transport and current fluctuations in short coherent conductors
• Full Current Statistics in the Regime of Weak Coulomb Interaction
• Feedback of the electromagnetic environment on current and voltage fluctuations out of equilibrium
• Experimental Test of the Dynamical Coulomb Blockade Theory for Short Coherent Conductors
• Mixed, charge and heat noises in thermoelectric nanosystems
• Perturbative fluctuation dissipation relation for non-equilibrium finite frequency noise in quantum circuits
• Current Fluctuations and Electron-Electron Interactions in Coherent Conductors
• Dynamical Coulomb blockade under a temperature bias
• Nanometer-Scale Metallic Grains Connected with Atomic-Scale Conductors
• Interplay of electromagnetic noise and Kondo effect in quantum dots
• Dynamical Coulomb Blockade as a Local Probe for Quantum Transport
• Shot noise and Coulomb effects on non-local electron transport in normal-superconducting-normal heterostructures
• One-channel conductor coupled to a quantum of resistance: exact ac conductance and finite-frequency noise
• Coexistence of Coulomb blockade and zero bias anomaly in a strongly coupled quantum dot
• Full Counting Statistics and Field Theory
• Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
• Dynamical Coulomb blockade of multiple Andreev reflections
• Dynamical Coulomb Blockade in an interacting 1D system coupled to an arbitrary environment
• Charge fluctuations in open chaotic cavities
• Interacting electrodynamics of short coherent conductors in quantum circuits
• Fast and accurate shot noise measurements on atomic-size junctions in the MHz regime
• Electron-photon interaction in a quantum point contact coupled to a microwave resonator
• Shot noise and Coulomb blockade of Andreev reflection
• Rescuing a Quantum Phase Transition with Quantum Noise
• Density of states and magnetoconductance of disordered Au point contacts
• Temperature and magnetic-field dependence of the quantum corrections to the conductance of a network of quantum dots
• Fate of the superconducting state in floating islands of hybrid nanowire devices
• Zero bias anomaly in a two dimensional granular insulator
• Effect of Exchange-type Zero-bias Anomaly on Single Electron Tunnelling of Au Nanoparticles
• Coulomb blockade of non-local electron transport in metallic conductors
• Dimensionality effects on non-equilibrium electronic transport in Cu nanobridges
• Noise feedback in an electronic circuit
• Quantum Coherent Transport of 1D ballistic states in second order topological insulator Bi${}_4$Br${}_4$
• Non-local electron transport and Coulomb effects in three-terminal metallic conductors
• Renormalization of the Coulomb blockade gap due to extended tunneling in nanoscopic junctions