Double Occupancy and Magnetic Susceptibility of the Anderson Impurity Model out of Equilibrium

Abstract

We use different numerical approaches to calculate the double occupancy and mag- netic susceptibility as a function of a bias voltage in an Anderson impurity model. Specifically, we compare results from the Matsubara-voltage quantum Monte-Carlo approach (MV-QMC), the scattering-states numerical renormalization group (SNRG), and real-time quantum Monte-Carlo (RT-QMC), covering Coulomb repulsions ranging from the weak-coupling well into the strong- coupling regime. We observe a distinctly different behavior of the double occupancy and the magnetic response. The former measures charge fluctuations and thus only indirectly exhibits the Kondo scale, while the latter exhibits structures on the scale of the equilibrium Kondo tempera- ture. The Matsubara-voltage approach and the scattering-states numerical renormalization group yield consistent values for the magnetic susceptibility in the Kondo limit. On the other hand, all three numerical methods produce different results for the behavior of charge fluctuations in strongly interacting dots out of equilibrium.

6 pages, 4 figures

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Cited by in corpus (8)

• Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model
• Dynamics of Kondo voltage splitting after a quantum quench
• Nonequilibrium, spatio-temporal formation of the Kondo screening-cloud on a lattice
• Voltage quench dynamics of a Kondo system
• Local susceptibility and Kondo scaling in the presence of finite bandwidth
• Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach
• Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach
• Gutzwiller Renormalization Group