Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach

Abstract

We study the single-impurity Anderson model out of equilibrium under the influence of a bias voltage $\varphi$ and a magnetic field $B$. We investigate the interplay between the shift (${\omega }_B$) of the Kondo peak in the spin-resolved density of states (DOS) and the one (${\varphi }_B$) of the conductance anomaly. In agreement with experiments and previous theoretical calculations we find that, while the latter displays a rather linear behavior with an almost constant slope as a function of $B$ down to the Kondo scale, the DOS shift first features a slower increase reaching the same behavior as ${\varphi }_B$ only for $|g|{\mu }_{B}B\gg k_B{T}_K$. Our auxiliary master equation approach yields highly accurate nonequilibrium results for the DOS and for the conductance all the way from within the Kondo up to the charge fluctuation regime, showing excellent agreement with a recently introduced scheme based on a combination of numerical renormalization group with time-dependent density matrix renormalization group.

arXiv commentAccepted version

References in corpus (51)

• The density-matrix renormalization group in the age of matrix product states
• Kondo Physics in a Single Electron Transistor
• Efficient simulation of one-dimensional quantum many-body systems
• A Tunable Kondo Effect in Quantum Dots
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor
• The Anderson Model out of Equilibrium: Non-Crossing-Approximation Approach to Transport through a Quantum Dot
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
• Resonant tunneling through ultrasmall quantum dots: zero-bias anomalies, magnetic field dependence, and boson-assisted transport
• Kondo effect in a magnetic field and the magnetoresistivity of Kondo alloys
• On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Temperature and magnetic field dependence of a Kondo system in the weak coupling regime
• The Kondo effect in quantum dots at high voltage: Universality and scaling
• Spectral theorem for the Lindblad equation for quadratic open fermionic systems
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Spin-1/2 Kondo effect in an InAs nanowire quantum dot: the Unitary limit, conductance scaling and Zeeman splitting
• Auxiliary master equation approach to non-equilibrium correlated impurities
• Green's functions from real-time bold-line Monte Carlo: spectral properties of the nonequilibrium Anderson impurity model
• Perturbative Approach to the Nonequilibrium Kondo Effect in a Quantum Dot
• Anomalous magnetic splitting of the Kondo resonance
• Imaginary-time formulation of steady-state nonequilibrium: application to strongly correlated transport
• Thermofield-based chain mapping approach for open quantum systems
• Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model
• Lindblad-Driven Discretized Leads for Non-Equilibrium Steady-State Transport in Quantum Impurity Models: Recovering the Continuum Limit
• Measuring the Out-of-Equilibrium Splitting of the Kondo Resonance
• Non-equilibrium Differential Conductance through a Quantum Dot in a Magnetic Field
• Spectral function of the Kondo model in high magnetic fields
• Optimized auxiliary representation of a non-Markovian environment by a Lindblad equation
• Field-dependent dynamics of the Anderson impurity model
• Kondo-temperature dependence of the Kondo splitting in a single-electron transistor
• Quantum Fluctuations along Symmetry Crossover in Kondo-correlated Quantum Dot
• Universal lineshape of the Kondo zero-bias anomaly in a quantum dot
• Non-Equilibrium Kondo Model with Voltage Bias in a Magnetic Field
• Non-equilibrium conductance of a three-terminal quantum dot in the Kondo regime: Perturbative Renormalization Group
• Kondo model in nonequilibrium: Interplay between voltage, temperature, and crossover from weak to strong coupling
• Thermoelectric response of a correlated impurity in the nonequilibrium Kondo regime
• Nonequilibrium Kondo transport through a quantum dot in a magnetic field
• Transport Through a Correlated Interface: Auxiliary Master Equation Approach
• Magnetic field effects in few-level quantum dots: theory, and application to experiment
• Steady-state spectra, current and stability diagram of a quantum dot: a non-equilibrium Variational Cluster Approach
• Out of equilibrium transport through an Anderson impurity: Probing scaling laws within the equation of motion approach
• Quasiparticle excitations in steady state transport across a correlated layer
• Resonance Effects in Correlated Multilayer Heterostructures
• Double Occupancy and Magnetic Susceptibility of the Anderson Impurity Model out of Equilibrium
• Thermoelectric properties of a strongly correlated layer

Cited by in corpus (23)

• Nonequilibrium Steady-State Transport in Quantum Impurity Models: a Thermofield and Quantum Quench Approach using Matrix Product States
• Breaking the entanglement barrier: Tensor network simulation of quantum transport
• Green's function methods for single molecule junctions
• An efficient method for quantum impurity problems out of equilibrium
• Dynamics of Kondo voltage splitting after a quantum quench
• Quantum Monte Carlo in the steady-state
• Open System Tensor Networks and Kramers' Crossover for Quantum Transport
• Configuration interaction based nonequilibrium steady state impurity solver
• Lead Geometry and Transport Statistics in Molecular Junctions
• Steady state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs
• Pseudogap Anderson impurity model out of equilibrium: A master equation tensor network approach
• Magnetic field dependence of the thermopower of Kondo-correlated quantum dots
• Performance of Reservoir Discretizations in Quantum Transport Simulations
• Time-dependent numerical renormalization group method for multiple quenches: towards exact results for the long time limit of thermodynamic observables and spectral functions
• Magnetic field dependence of the thermopower of Kondo-correlated quantum dots: Comparison with experiment
• Feynman-Vernon influence functional approach to quantum transport in interacting nanojunctions: An analytical hierarchical study
• Thermodynamic performance of a periodically driven harmonic oscillator correlated with the baths
• Auxiliary master equation approach within stochastic wave functions: Application to the Interacting Resonant Level Model
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Population transfer via a finite temperature state
• Kondo nanomechanical dissipation in the driven Anderson impurity model
• Approaching the scaling limit of transport through lattices with dephasing