Theory of non-equilibrium transport in the SU(N) Kondo regime

Abstract

Using a Fermi liquid approach, we provide a comprehensive treatment of the current and current noise through a quantum dot whose low-energy behaviour corresponds to an SU($N$) Kondo model, focusing on the case N=4 relevant to carbon nanotube dots. We show that for general $N$, one needs to consider the effects of higher-order Fermi liquid corrections even to describe low-voltage current and noise. We also show that the noise exhibits complex behaviour due to the interplay between coherent shot noise, and noise arising from interaction-induced scattering events. We treat various imperfections relevant to experiments, such as the effects of asymmetric dot-lead couplings.

17 pages, 6 figures, published in PRB

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• Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state
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• Shot Noise in SU(N) Quantum Dot Kondo Effects
• Fermi liquid theory for SU(N) Kondo model

Cited by in corpus (74)

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• Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Driven dissipative dynamics and topology of quantum impurity systems
• Fermi-liquid theory for the single-impurity Anderson model
• Solving quantum impurity problems in and out of equilibrium with variational approach
• Nonequilibrium conductance of asymmetric nanodevices in the Kondo regime
• Transport properties of the Coulomb-Majorana junction
• Quantum Fluctuations along Symmetry Crossover in Kondo-correlated Quantum Dot
• Fractionalization and anyonic statistics in the integer quantum Hall collider
• At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model
• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• The Kondo crossover in shot noise of a single quantum dot with orbital degeneracy
• SU(3) Kondo effect in spinless triple quantum dots
• Two-color Fermi liquid theory for transport through a multilevel Kondo impurity
• Realization of SU(N) Kondo effect in strong magnetic field
• Effective Equilibrium Theory of Nonequilibrium Quantum Transport
• Effective Equilibrium Description of Nonequilibrium Quantum Transport I: Fundamentals and Methodology
• The Kondo Temperature of SU(4) Symmetric Quantum Dots
• Emission Noise in an Interacting Quantum Dot: Role of Inelastic Scattering and Asymmetric Coupling to the Reservoirs
• Thermoelectric Transport through SU(N) Kondo Impurity
• Does delta-$T$ noise probe quantum statistics?
• Anisotropic charge Kondo effect in a triple quantum dot
• Nonlinear Seebeck effect of SU($N$) Kondo impurity
• Time-Dependent and Steady-State Gutzwiller approach for nonequilibrium transport in nanostructures
• Fermi liquid theory for nonlinear transport through a multilevel Anderson impurity
• Strongly-Correlated Thermoelectric Transport beyond Linear Response
• Kondo effect in a carbon nanotube with spin-orbit interaction and valley mixing: A DM-NRG study
• Equilibrium Fermi-liquid coefficients for the fully screened N-channel Kondo model
• Noise of Kondo dot with ac gate: Floquet-Green's function and Noncrossing Approximation Approach
• Field-induced SU(4) to SU(2) Kondo crossover in a half-filling nanotube dot: spectral and finite-temperature properties
• Full counting statistics for orbital-degenerate impurity Anderson model with Hund's rule exchange coupling
• Three-body correlations in nonlinear response of correlated quantum liquid
• Delta-T noise in the Kondo regime
• Admittance of the SU(2) and SU(4) Anderson quantum RC circuits
• Field-Enhanced Kondo Correlations in a Half-Filling Nanotube Dot: Evolution of an SU(N) Fermi-Liquid Fixed Point
• Current noise and Keldysh vertex function of an Anderson impurity in the Fermi liquid regime
• What Can We Learn from Noise? -- Mesoscopic Nonequilibrium Statistical Physics --
• Transport properties of fully screened Kondo models
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Non-equilibrium quantum transport through a dissipative resonant level
• 1/(N-1) expansion for a finite U Anderson model away from half-filling
• 1/(N-1) expansion based on a perturbation theory in U for the Anderson model with N-fold degeneracy
• SU(12) Kondo Effect in Carbon Nanotube Quantum Dot
• Nonlinear Fermi-liquid transport through a quantum dot in asymmetric tunnel junctions
• Exact interacting Green's function for the Anderson impurity at high bias voltages
• Tunable Kondo-Luttinger systems far from equilibrium
• Transport signatures of interacting fermions in quasi-one-dimensional topological superconductors
• Full counting statistics of the two-stage Kondo effect
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Noise of a chargeless Fermi liquid
• Kondo induced π-phase shift of microwave photons in a circuit quantum electrodynamics architecture
• Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach
• Effects of strong electron interactions and resonance scattering on power output of nano-devices
• Coulomb oscillations of the Fano-Kondo effect and zero bias anomalies in the double dot meso-transistor
• Role of bias and tunneling asymmetries in nonlinear Fermi-liquid transport through an SU($N$) quantum dot
• Quantum noise in carbon nanotubes as a probe of correlations in the Kondo regime
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• Exact Green's function for a multi-orbital Anderson impurity at high bias voltages
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Multistage Kondo effect in a multiterminal geometry: A modular quantum interferometer
• Unhiding a concealed resonance by multiple Kondo transitions in a quantum dot
• Current cross-correlation in the Anderson impurity model with exchange interaction
• Unraveling screening mechanisms in Kondo impurities using an NRG-MPS-based method
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model
• 1/(N-1) expansion approach to full counting statistics for the SU(N) Anderson model
• Transmission phase evolution in fully screened and overscreened Kondo impurities
• Non-symmetrized quantum noise in a Kondo quantum dot
• Three-body Fermi-liquid corrections for Andreev transport through quantum dots
• Bell-state correlations in current of local Fermi liquid
• Fractional shot noise of an SU(N) Kondo system