Non-equilibrium frequency-dependent noise through a quantum dot: A real time functional renormalization group approach

Abstract

We construct a real time current-conserving functional renormalization group (RG) scheme on the Keldysh contour to study frequency-dependent transport and noise through a quantum dot in the local moment regime. We find that the current vertex develops a non-trivial non-local structure in time, governed by a new set of RG equations. Solving these RG equations, we compute the complete frequency and temperature-dependence of the noise spectrum. For voltages large compared to the Kondo temperature, $eV\gg k_B{T}_K$, two sharp anti-resonances are found in the noise spectrum at frequencies $\hslash \omega =\pm eV$, and correspondingly, two peaks in the ac conductance through the dot.

4 pages, 4 figures

References in corpus (21)

• Shot Noise in Mesoscopic Conductors
• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• The Kondo effect in quantum dots at high voltage: Universality and scaling
• Universal Scaling in Non-equilibrium Transport Through a Single-Channel Kondo Dot
• Nonequilibrium Singlet-Triplet Kondo Effect in Carbon Nanotubes
• Partition noise and statistics in the fractional quantum Hall effect
• Fractional Shot Noise in the Kondo Regime
• Noisy Kondo impurities
• Dynamics of Quantum Noise in a Tunnel Junction under ac Excitation
• Two-electron bunching in transport through a QD induced by Kondo correlations
• Emission and Absorption quantum noise measurement with an on-chip resonant circuit
• Shot Noise through a Quantum Dot in the Kondo Regime
• Full counting statistics for the Kondo dot in the unitary limit
• Revisiting the Hanbury Brown-Twiss set-up for fractional statistics
• Real-time renormalization group and cutoff scales in nonequilibrium applied to an arbitrary quantum dot in the Coulomb blockade regime
• AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
• The effects of non-abelian statistics on two-terminal shot noise in a quantum Hall liquid in the Pfaffian state
• Frequency-dependent transport through a quantum dot in the Kondo regime

Cited by in corpus (26)

• Quantum Noise Measurement of a Carbon Nanotube Quantum Dot in the Kondo Regime
• Current correlations in the interacting Cooper-pair beam-splitter
• 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
• Nonsymmetrized noise in a quantum dot: Interpretation in terms of energy transfer and coherent superposition of scattering paths
• Emission Noise in an Interacting Quantum Dot: Role of Inelastic Scattering and Asymmetric Coupling to the Reservoirs
• One-channel conductor coupled to a quantum of resistance: exact ac conductance and finite-frequency noise
• Emission Noise and High Frequency Cut-Off of the Kondo Effect in a Quantum Dot
• Magnetic field effects on the finite-frequency noise and ac conductance of a Kondo quantum dot out of equilibrium
• Magnetic field dependence of the thermopower of Kondo-correlated quantum dots
• Magnetic field dependence of the thermopower of Kondo-correlated quantum dots: Comparison with experiment
• Finite-frequency-dependent noise of a quantum dot in a magnetic field
• Finite frequency noise properties of the non-equilibrium Anderson impurity model
• Non-equilibrium quantum transport through a dissipative resonant level
• Transport properties of fully screened Kondo models
• Finite frequency current fluctuations and the self-consistent perturbation theory for electron transport through quantum dot
• Spin-resolved dynamical conductance of correlated large-spin magnetic molecules
• Mechanism of current noise spectrum in a nonequilibirum Kondo dot system
• Dynamical spin accumulation in large-spin magnetic molecules
• Quantum noise in carbon nanotubes as a probe of correlations in the Kondo regime
• Spin versus charge noise from Kondo traps
• Generic model for Cooper pair splitting
• Out-of-equilibrium fluctuation-dissipation relations verified by the electrical and thermoelectrical ac-conductances in a quantum dot
• Number-resolved master equation approach to quantum transport under the self-consistent Born approximation
• Fast and Continuous Detection of Single Microwave Photons via Photo-assisted Quasiparticle Tunneling to a Superconducting Island
• Non-symmetrized quantum noise in a Kondo quantum dot
• Finite-frequency noise in non-Markovian systems: A Markovian embedding approach