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 nonlinear 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.
Highlights
Out-of-equilibrium quantum systems have received much attention in the past few decades, both experimentally and theoretically [1]
Due to these difficulties most of the previous studies have been restricted to single-site models like the spinless interacting resonant level model (IRLM) or the single-impurity Anderson model, and the main focus was on the zero temperature I–V characteristics, in particular in the linear regime
We restrict ourselves to the cases NC = 1 which corresponds to the IRLM, and NC = 2 which we will refer to as two-site model, for brevity
Summary
Out-of-equilibrium quantum systems have received much attention in the past few decades, both experimentally and theoretically [1]. While there exist powerful numerical and analytical methods to calculate ground state and finite temperature properties of isolated interacting quantum systems, the situation becomes much more involved when these systems are coupled to reservoirs and driven out of equilibrium, even in the case when a stationary state is reached [2]. Due to these difficulties most of the previous studies have been restricted to single-site models like the spinless interacting resonant level model (IRLM) or the single-impurity Anderson model, and the main focus was on the zero temperature I–V characteristics, in particular in the linear regime. In the purely numerical methods there exist severe limitations with respect to size and dimensionality of the systems that can be studied, and even for single-site models the approaches are computationally very expensive
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