Imaginary-time formulation of steady-state nonequilibrium in quantum dot models

Abstract

We examine the recently proposed imaginary-time formulation for strongly correlated steady-state nonequilibrium for its range of validity and discuss significant improvements in the analytic continuation of the Matsubara voltage as well as the fermionic Matsubara frequency. The discretization error in the conventional Hirsch-Fye algorithm has been compensated in the Fourier transformation with reliable small frequency behavior of self-energy. Here we give detailed discussions for generalized spectral representation ansatz by including high order vertex corrections and its numerical analytic continuation procedures. The differential conductance calculations agree accurately with existing data from other nonequilibrium transport theories. It is verified that, at finite source-drain voltage, the Kondo resonance is destroyed at bias comparable to the Kondo temperature. Calculated coefficients in the scaling relation of the zero bias anomaly fall within the range of experimental estimates.

16 pages, 10 figures, Comparison to other theories added

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• On the nature of the optical conductivity of polaron
• Effective Equilibrium Description of Nonequilibrium Quantum Transport I: Fundamentals and Methodology
• Effective Equilibrium Theory of Nonequilibrium Quantum Transport
• Time-Dependent and Steady-State Gutzwiller approach for nonequilibrium transport in nanostructures
• Nonequilibrium density matrix for quantum transport: Hershfield approach as a McLennan-Zubarev form of the statistical operator
• Strongly-Correlated Thermoelectric Transport beyond Linear Response
• Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
• Imaginary-time quantum many-body theory out of equilibrium I: Formal equivalence to Keldysh real-time theory and calculation of static properties
• Nonequilibrium density matrix for simultaneous heat and charge steady-state transport in quantum open systems
• Nonequilibrium distribution functions for quantum transport: universality and approximation for the steady state regime
• Impurity model for non-equilibrium steady states
• Non-equilibrium quantum transport through a dissipative resonant level
• Fluctuation-exchange approximation theory of the non-equilibrium singlet-triplet transition
• Analytical Continuation Approaches to Electronic Transport: The Resonant Level Model
• Non-equilibrium transport theory of the singlet-triplet transition: perturbative approach
• Imaginary-time quantum many-body theory out of equilibrium II: Analytic continuation of dynamic observables and transport properties
• Zero-bias current induced by periodic drive of any shape