Universality of the Kondo Effect in a Quantum Dot out of Equilibrium

Abstract

We study the Kondo effect in a quantum dot driven out of equilibrium by an external ac field. The Kondo effect can be probed by measuring the dc current induced by an auxiliary dc bias $V_{dc}$ applied across the dot. In the absence of ac perturbation, the corresponding differential conductance $G(V_{dc})$ is known to exhibit a sharp peak at $V_{dc}=0$, which is the manifestation of the Kondo effect. In the equilibrium, there exists only one energy scale, the Kondo temperature $T_K$, which controls all the low-energy physics of the system; $G$ is some universal function of $e{V}_{dc}/T_K$. We demonstrate that the dot out of equilibrium is also characterized by a universal behavior: conductance $G$ depends on the ac field only through two dimensionless parameters, which are the frequency $\omega$ and the amplitude of the ac perturbation, both divided by $T_K$. We find analytically the large- and small-frequency asymptotes of the universal dependence of $G$ on these parameters. The obtained results allow us to predict the behavior of the conductance in the crossover regime $\hslash \omega \sim T_K$.

18 pages, 5 figures

References in corpus (1)

• Direct Coulomb and Exchange Interaction in Artificial Atoms

Cited by in corpus (160)

• Floquet Engineering of Quantum Materials
• Molecular Transport Junctions: Vibrational Effects
• Photon-assisted transport in semiconductor nanostructures
• Spin-flip transitions between Zeeman sublevels in semiconductor quantum dots
• Iterative real-time path integral approach to nonequilibrium quantum transport
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
• The Kondo effect in quantum dots at high voltage: Universality and scaling
• Universal Scaling in Non-equilibrium Transport Through a Single-Channel Kondo Dot
• Towards full counting statistics for the Anderson impurity model
• Scaling and Decoherence in the Out-of-Equilibrium Kondo Model
• Comparative study of theoretical methods for nonequilibrium quantum transport
• Transient dynamics of the Anderson impurity model out of equilibrium
• Thermoelectric effects in Kondo correlated quantum dots
• Universal aspects of non-equilibrium currents in a quantum dot
• Probing spin and orbital Kondo effects with a mesoscopic interferometer
• Kondo Universal Scaling for a Quantum Dot Coupled to Superconducting Leads
• Charge transport through single molecules, quantum dots, and quantum wires
• Magnetically Tunable Kondo - Aharonov-Bohm Effect in a Triangular Quantum Dot
• Interference in interacting quantum dots with spin
• Inelastic effects in molecular junctions in the Coulomb and Kondo regimes: Nonequilibrium equation-of-motion approach
• Detecting the Kondo screening cloud in conductance measurements on quantum dots
• Probing the Kondo density of states in a three-terminal quantum ring
• Nonequilibrium Transport through a Kondo Dot in a Magnetic Field: Perturbation Theory
• Theory of non-equilibrium transport in the SU(N) Kondo regime
• Nonequilibrium Transport through a Kondo Dot: Decoherence Effects
• Shot Noise through a Quantum Dot in the Kondo Regime
• Kondo memory in driven strongly-correlated quantum dots
• Transport in Quantum Dots from the Integrability of the Anderson Model
• Fermi-Edge Resonance and Tunneling in Nonequilibrium Electron Gas
• Kondo effect in coupled quantum dots: a Non-crossing approximation study
• Full counting statistics for the Kondo dot in the unitary limit
• Universal Scaling of Nonequilibrium Transport in the Kondo Regime of Single Molecule Devices
• Kondo screening cloud effects in mesoscopic devices
• Fermi liquid theory for the nonequilibrium Kondo effect at low bias voltages
• On the perturbative expansion of the magnetization in the out-of-equilibrium Kondo model
• Subharmonic transitions and Bloch-Siegert shift in electrically driven spin resonance
• Universal out-of-equilibrium Transport in Kondo-correlated quantum dots: Renormalized dual Fermions on the Keldysh contour
• Adiabatic spin pumping through a quantum dot with a single orbital level
• Real-time renormalization group in frequency space: A 2-loop analysis of the nonequilibrium anisotropic Kondo model at finite magnetic field
• Is the quantum dot at large bias a weak-coupling problem?
• Solving quantum impurity problems in and out of equilibrium with variational approach
• Non-equilibrium dynamics of Andreev states in the Kondo regime
• Shot noise near the unitary limit of a Kondo quantum dot
• Anderson Model out of equilibrium: decoherence effects in transport through a quantum dot
• Nonequilibrium conductance of asymmetric nanodevices in the Kondo regime
• Spin dynamics from Majorana fermions
• Three-terminal transport through a quantum dot in the Kondo regime: Conductance, dephasing, and current-current correlations
• Low temperature transport in AC-driven Quantum Dots in the Kondo regime
• Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state
• Tunneling through triple quantum dots with mirror symmetry
• Nuclear Tuning and Detuning of the Electron Spin Resonance in a Quantum Dot
• Voltage quench dynamics of a Kondo system
• Nonequilibrium Transport through Double Quantum Dots: Exact Results near Quantum Critical Point
• Universal lineshape of the Kondo zero-bias anomaly in a quantum dot
• Comparison between scattering-states numerical renormalization group and the Kadanoff-Baym-Keldysh approach to quantum transport: Crossover from weak to strong correlations
• Real-time renormalization group and cutoff scales in nonequilibrium applied to an arbitrary quantum dot in the Coulomb blockade regime
• Non-equilibrium Kondo effect in asymmetrically coupled quantum dot
• Anderson impurity model in nonequilibrium: analytical results versus quantum Monte Carlo data
• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• Transient currents and universal timescales for a fully time-dependent quantum dot in the Kondo regime
• Spin polarized current and shot noise in carbon nanotube quantum dot in the Kondo regime
• Non-Equilibrium Kondo Model with Voltage Bias in a Magnetic Field
• Quantum Criticality out of Equilibrium: Steady State in a Magnetic Single-Electron Transistor
• Non-equilibrium conductance of a three-terminal quantum dot in the Kondo regime: Perturbative Renormalization Group
• Universal scaling in nonequilibrium transport through an Anderson impurity
• Spin dynamics and violation of the fluctuation dissipation theorem in a non-equilibrium ohmic spin boson model
• Spin-polarized transport through a single-level quantum dot in the Kondo regime
• Frequency-dependent transport through a quantum dot in the Kondo regime
• Parametric instability in periodically driven Luttinger liquids
• Resonance Kondo Tunneling through a Double Quantum Dot at Finite Bias
• Iterative path integral summation for nonequilibrium quantum transport
• Transport through quantum dots: A combined DMRG and cluster-embedding study
• Interplay of electromagnetic noise and Kondo effect in quantum dots
• 1/N expansion of the nonequilibrium infinite-U Anderson Model
• Renormalization in periodically driven quantum dots
• Effective Equilibrium Description of Nonequilibrium Quantum Transport I: Fundamentals and Methodology
• Fate of the spin-\frac{1}{2} Kondo effect in the presence of temperature gradients
• Effective Equilibrium Theory of Nonequilibrium Quantum Transport
• Tunneling transport through multi-electrons states in coupled quantum dots with Coulomb correlations
• Non-equilibrium steady state in a periodically driven Kondo model
• Out-of-equilibrium Anderson model at high and low bias voltages
• Two-channel Kondo tunneling in triple quantum dot
• Transient Charging and Discharging of Spin-polarized Electrons in a Quantum Dot
• Emission Noise and High Frequency Cut-Off of the Kondo Effect in a Quantum Dot
• Indirect Exchange Interaction between two Quantum Dots in an Aharonov-Bohm Ring
• Coulomb correlations effects on localized charge relaxation in the coupled quantum dots
• Charge and spin configurations in the coupled quantum dots with Coulomb correlations induced by tunneling current
• Effects of local periodic driving on transport and generation of bound states
• Mean-field results on the Anderson impurity model out of equilibrium
• Spin relaxation in quantum dots due to electron exchange with leads
• Steady-state spectra, current and stability diagram of a quantum dot: a non-equilibrium Variational Cluster Approach
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Kondo Shuttling in Nanoelectromechanical Single-Electron Transistor
• Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
• Magnetic field effects on the finite-frequency noise and ac conductance of a Kondo quantum dot out of equilibrium
• Voltage dependence of Landau-Lifshitz-Gilbert damping of a spin in a current driven tunnel junction
• Finite temperature dynamics of the Anderson model
• Non-Equilibrium Scaling Analysis of the Kondo Model with Voltage Bias
• Inelastic cotunneling induced decoherence and relaxation, charge and spin currents in an interacting quantum dot under a magnetic field
• Strongly-Correlated Thermoelectric Transport beyond Linear Response
• Noise of Kondo dot with ac gate: Floquet-Green's function and Noncrossing Approximation Approach
• Low temperature transport through a quantum dot: finite-U results and scaling behavior
• Valley blockade and multielectron spin-valley Kondo effect in silicon
• Local quantum criticality out of equilibrium - effective temperatures and scaling in the steady state regime
• Functional renormalization group in Floquet space
• Steady-state dynamics and effective temperatures of quantum criticality in an open system
• Fluctuation-driven Coulomb drag in interacting quantum dot systems
• Correlations of spin currents through a quantum dot induced by the Kondo effect
• Theory of frequency-dependent spin current noise through correlated quantum dots
• Scaling laws of the Kondo problem at finite frequency
• Current induced decoherence in the multichannel Kondo problem
• Mixed-state aspects of an out-of-equilibrium Kondo problem in a quantum dot
• Dynamic response of a spin-1/2 Kondo singlet
• Time-dependent single electron tunneling through a shuttling nano-island
• Shot noise in the interacting resonance level model
• Kondo Force in Shuttling Devices: Dynamical Probe for a Kondo Cloud
• Unveiling the Kondo cloud: unitary RG study of the Kondo model
• SU(12) Kondo Effect in Carbon Nanotube Quantum Dot
• 1/(N-1) expansion based on a perturbation theory in U for the Anderson model with N-fold degeneracy
• 1/(N-1) expansion for a finite U Anderson model away from half-filling
• Ultrafast molecular dynamics in terahertz-STM experiments: Theoretical analysis using Anderson-Holstein model
• Transconductance of a double quantum dot system in the Kondo regime
• Exact interacting Green's function for the Anderson impurity at high bias voltages
• Interaction effect on reservoir-parameter-driven adiabatic charge pumping via a single-level quantum dot system
• Simulations of the dynamics of quantum impurity problems with matrix product states
• Kondo Effects in Quantum Dots at Large Bias
• Decoherence and Dephasing in Kondo Tunneling through Double Quantum Dots
• Real-time effective-action approach to the Anderson quantum dot
• Engineering the Kondo impurity problem with alkaline-earth atom arrays
• Noise of a chargeless Fermi liquid
• Electronic spin working mechanically
• Kondo induced π-phase shift of microwave photons in a circuit quantum electrodynamics architecture
• Periodically-driven Kondo impurity in nonequilibrium steady states
• Transport through a magnetic impurity: a slave-spin approach
• Electronic Green's functions in a T-shaped multi-quantum dot system
• Kondo correlations formation and the local magnetic moment dynamics in the Anderson model
• Transport Properties of Multiple Quantum Dots Arranged in Parallel: Results from the Bethe Ansatz
• Many-body wavefunctions for quantum impurities out of equilibrium. I. The nonequilibrium Kondo model
• Cavity-enhanced Kondo effect
• Tunable RKKY interaction in a double quantum dot nanoelectromechanical device
• Quantum noise in carbon nanotubes as a probe of correlations in the Kondo regime
• Collapse of the Josephson emission in a carbon nanotube junction in the Kondo regime
• Kondo Tunneling into a Quantum Spin Hall Insulator
• Many-body wavefunctions for quantum impurities out of equilibrium
• External field induced switching of tunneling current in the coupled quantum dots
• Quantum Reciprocity Conjecture for the Non-Equilibrium Steady State
• Floquet Renormalization Group Approach to the Periodically Driven Kondo Model
• The renormalized superperturbation theory (SPT) approach to the Anderson model in and out of equilibrium
• Spin-orbital Kondo decoherence by environmental effects in capacitively coupled quantum dot devices
• Exact Green's function for a multi-orbital Anderson impurity at high bias voltages
• Interaction-induced harmonic frequency mixing in quantum dots
• Kondo effect in a Aharonov-Casher interferometer
• High-order current correlation functions in Kondo systems
• Kondo effect in Complex Quantum Dots in the presence of an oscillating and fluctuating gate signal
• Ac-cotunneling through an interacting quantum dot under a magnetic field
• 1/(N-1) expansion approach to full counting statistics for the SU(N) Anderson model
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity
• Cotunneling mechanism of single-electron shuttling
• Dynamic response of a single-electron transistor in the ac Kondo regime