Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond

Abstract

The finite-temperature transport properties of the spinless interacting fermion model coupled to non-interacting leads are investigated. Employing the unrestricted time-dependent Hartree-Fock (HF) approximation, the transmission probability and the non-linear $I$-$V$ characteristics are calculated, and compared with available analytical results and with numerical data obtained from a Hubbard-Stratonovich decoupling of the interaction. In the weak interaction regime, the HF approximation reproduces the gross features of the exact $I$-$V$ characteristics but fails to account for subtle properties like the particular power law for the reflected current in the interacting resonant level model.

8 pages, 8 figures

References in corpus (8)

• Iterative real-time path integral approach to nonequilibrium quantum transport
• 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
• Charge transport through single molecules, quantum dots, and quantum wires
• Numerical evaluation of Greens functions based on the Chebyshev expansion
• Successes and failures of Bethe Ansatz Density Functional Theory
• Density functional theory for a model quantum dot: Beyond the local-density approximation
• From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant level

Cited by in corpus (3)

• Auxiliary master equation approach within stochastic wave functions: Application to the Interacting Resonant Level Model
• Implementation of transmission functions for an optimized three-terminal quantum dot heat engine
• Non-equilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model