Nonequilibrium Transport through a Kondo Dot in a Magnetic Field: Perturbation Theory

Abstract

Using nonequilibrium perturbation theory, we investigate the nonlinear transport through a quantum dot in the Kondo regime in the presence of a magnetic field. We calculate the leading logarithmic corrections to the local magnetization and the differential conductance, which are characteristic of the Kondo effect out of equilibrium. By solving a quantum Boltzmann equation, we determine the nonequilibrium magnetization on the dot and show that the application of both a finite bias voltage and a magnetic field induces a novel structure of logarithmic corrections not present in equilibrium. These corrections lead to more pronounced features in the conductance, and their form calls for a modification of the perturbative renormalization group.

16 pages, 7 figures

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Cited by in corpus (64)

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• A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
• Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
• Numerically Exact Long Time Magnetization Dynamics at the Nonequilibrium Kondo Crossover of the Anderson Impurity Model
• Nonequilibrium Singlet-Triplet Kondo Effect in Carbon Nanotubes
• Scaling and Decoherence in the Out-of-Equilibrium Kondo Model
• Giant fluctuations and gate control of the g-factor in InAs Nanowire Quantum Dots
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• The Kondo Effect in Non-Equilibrium Quantum Dots: Perturbative Renormalization Group
• Fermi-Edge Resonance and Tunneling in Nonequilibrium Electron Gas
• Kondo physics in tunable semiconductor nanowire quantum dots
• Fermionic superoperators for zero-temperature non-linear transport: real-time perturbation theory and renormalization group for Anderson quantum dots
• Green's function methods for single molecule junctions
• Real-time renormalization group in frequency space: A 2-loop analysis of the nonequilibrium anisotropic Kondo model at finite magnetic field
• Theory of a resonant level coupled to several conduction electron channels in equilibrium and out-of-equilibrium
• Non-Equilibrium Quantum Dissipation
• Spatial and temporal propagation of Kondo correlations
• Coulomb Gas on the Keldysh Contour: Anderson-Yuval-Hamann representation of the Nonequilibrium Two Level System
• Pair-tunneling resonance in the single-electron transport regime
• Fermi gas response to time-dependent perturbations
• 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
• Resonant and Kondo tunneling through molecular magnets
• Transport mirages in single-molecule devices
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• Nonequilibrium Zeeman-splitting in quantum transport through nanoscale junctions
• Dynamical spin-spin correlation functions in the Kondo model out of equilibrium
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• Kondo effect in interacting nanoscopic systems: Keldysh field integral theory
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• 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
• Density-operator evolution: Complete positivity and the Keldysh real-time expansion
• Magnetic-Field-Induced Crossover to a Nonuniversal Regime in a Kondo Dot
• Out of equilibrium transport through an Anderson impurity: Probing scaling laws within the equation of motion approach
• Feynman-Vernon influence functional approach to quantum transport in interacting nanojunctions: An analytical hierarchical study
• Kinetic Schemes in Open Interacting Systems
• Quench dynamics and relaxation of a spin coupled to interacting leads
• Stable two-channel Kondo fixed point of an SU(3) quantum defect in a metal: renormalization group analysis and conductance spikes
• Nonequilibrium Cotunneling through a Three-Level Quantum Dot
• Correlations in non-equilibrium Luttinger liquid and singular Fredholm determinants
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• Electron transport in the four-lead two-impurity Kondo model: Nonequilibrium perturbation theory with almost degenerate levels
• Transconductance of a double quantum dot system in the Kondo regime
• Nonequilibrium quantum dynamics of the magnetic Anderson model
• Renormalization-group analysis of a spin-1 Kondo dot: Non-equilibrium transport and relaxation dynamics
• Quantum criticality out of equilibrium in the pseudogap Kondo model
• Nonequilibrium transport through parallel double quantum dots in the Kondo regime
• Spin and orbital fluctuations in non-equilibrium transport through quantum dots: A renormalisation-group analysis
• Nonequilibrium occupation number and charge susceptibility of a resonance level close to a dissipative quantum phase transition
• Kondo effect in a Aharonov-Casher interferometer
• Rotational Quantum Impurities in a Metal: Stability of the 2-Channel Kondo Fixed Point in a Magnetic Field
• Ac-cotunneling through an interacting quantum dot under a magnetic field
• Energy relaxation due to magnetic impurities in mesoscopic wires: Logarithmic approach
• Dynamical properties of a nonequilibrium quantum dot close to localized-delocalized quantum phase transitions