Transport through a Kondo quantum dot: Functional RG approach

Abstract

We apply the functional renormalization group (FRG) method to calculate the conductance of a quantum dot in the Kondo regime. Starting from the exact FRG equations in Keldysh formulation for the Kondo exchange Hamiltonian in pseudo-fermion (pf) representation, we solve the coupled equations for the pf self energy and the coupling function, neglecting three-particle and higher correlation functions. The conductance $G$ as a function of temperature $T$ and bias voltage $V$ is calculated using a renormalized Golden Rule expression. The limiting behavior at $T$ and/or $V$ $\gg T_K$ ($T_K$ : Kondo temperature) agrees with known results. The difficulties when approaching strong coupling are analyzed and improvements are suggested.

accepted for publication in Ann. Phys. (Berlin)

References in corpus (10)

• Exact evolution equation for the effective potential
• The numerical renormalization group method for quantum impurity systems
• A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
• Nonequilibrium Singlet-Triplet Kondo Effect in Carbon Nanotubes
• A novel approach to transport through correlated quantum dots
• Nonequilibrium Transport through a Kondo Dot in a Magnetic Field: Perturbation Theory
• Nonequilibrium Transport through a Kondo Dot: Decoherence Effects
• Kondo physics in tunable semiconductor nanowire quantum dots
• Transconductance of a double quantum dot system in the Kondo regime
• Electron transport in the four-lead two-impurity Kondo model: Nonequilibrium perturbation theory with almost degenerate levels

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• Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
• Green's function methods for single molecule junctions
• Numerically exact counting statistics of energy current in the Kondo regime
• Effective Equilibrium Description of Nonequilibrium Quantum Transport I: Fundamentals and Methodology
• Effective Equilibrium Theory of Nonequilibrium Quantum Transport
• Critical scales in anisotropic spin systems from functional renormalization
• Imaginary-time formulation of steady-state nonequilibrium in quantum dot models
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Magnetic field effects on the finite-frequency noise and ac conductance of a Kondo quantum dot out of equilibrium
• Finite-frequency-dependent noise of a quantum dot in a magnetic field
• Non-equilibrium quantum transport through a dissipative resonant level
• Transport properties of fully screened Kondo models
• Parquet approximation and one-loop renormalization group: Equivalence on the leading-logarithmic level
• Multi-terminal Anderson impurity model in nonequilibrium: Analytical perturbative treatment
• Quantum criticality out of equilibrium in the pseudogap Kondo model
• Non-equilibrium Scaling Properties of a Double Quantum Dot System: Comparison between Perturbative Renormalization Group and Flow Equation Approach
• Dynamical properties of a nonequilibrium quantum dot close to localized-delocalized quantum phase transitions
• Charge density wave breakdown in a heterostructure with electron-phonon coupling