Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point

Abstract

In this work, we investigate the characteristics of the electric current in the so-called symmetric Anderson impurity model. We study the nonequilibrium model using two complementary approximate methods, the perturbative quantum master equation approach to the reduced density matrix, and a self-consistent equation of motion approach to the nonequilibrium Green's function. We find that at a particular symmetry point, an interacting Anderson impurity model recovers the same steady-state current as an equivalent non-interacting model, akin a two-band resonant level model. We show this in the Coulomb blockade regime for both high and low temperatures, where either the approximate master equation approach and the Green's function method provide accurate results for the current. We conclude that the steady-state current in the symmetric Anderson model at this regime does not encode characteristics of a many-body interacting system.

References in corpus (32)

• Spins in few-electron quantum dots
• Kondo Physics in a Single Electron Transistor
• The numerical renormalization group method for quantum impurity systems
• Molecular Transport Junctions: Vibrational Effects
• First-Principles Based Matrix-Green's Function Approach to Molecular Electronic Devices: General Formalism
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Real-time path integral approach to nonequilibrium many-body quantum system
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Quantum master equation for electron transport through quantum dots and single molecules
• Taming the dynamical sign problem in real-time evolution of quantum many-body problems
• Nonequilibrium electron transport using the density matrix renormalization group
• Iterative real-time path integral approach to nonequilibrium quantum transport
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
• Memory Effects In Nonequilibrium Quantum Impurity Models
• Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
• Decoherence and lead induced inter-dot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation approach
• Non-equilibrium dynamics of the Anderson impurity model
• Transport in molecular states language: Generalized quantum master equation approach
• Pair tunneling through single molecules
• Inelastic effects in molecular junctions in the Coulomb and Kondo regimes: Nonequilibrium equation-of-motion approach
• Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation
• Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model
• A self-consistent quantum master equation approach to molecular transport
• On the scaling spectrum of the Anderson impurity model
• Molecular junctions in the Coulomb blockade regime: rectification and nesting
• Molecular Heat Engines: Quantum Coherence Effects
• Steady state conductance in a double quantum dot array: The nonequilibrium equation-of-motion Green function approach
• Symmetric Anderson impurity model with a narrow band
• A Cartesian Quasi-classical Model to Nonequilibrium Quantum Transport: The Anderson Impurity Model
• Kondo physics of the Anderson impurity model by Distributional Exact Diagonalization
• Symmetry breaking and restoration using the equation-of-motion technique for nonequilibrium quantum impurity models

Cited by in corpus (5)

• Efficient low temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
• Numerically exact counting statistics of energy current in the Kondo regime
• Study of the energy variation in many-body open quantum systems: role of interactions in the weak and strong coupling regimes
• Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach
• A complete quasiclassical map for the dynamics of interacting fermions