Advances in nonequilibrium transport with long-range interactions

TL;DR

This paper introduces a new method for analyzing quantum transport with long-range interactions, enabling accurate transient and steady-state calculations while revealing effects like jamming that short-range models miss.

Contribution

The authors develop a novel approach based on Kadanoff-Baym equations that handles long-range interactions efficiently in quantum transport models.

Findings

Demonstrates a jamming effect reducing screening time

Shows suppression of zero-bias conductance due to long-range interactions

Method avoids negative densities and charge non-conservation

Abstract

The effects of long-range interactions in quantum transport are still largely unexplored, mainly due to the difficulty of devising efficient embedding schemes. In this work we present a substantial progress in the interacting resonant level model by reducing the problem to the solution of Kadanoff-Baym-like equations with a correlated embedding self-energy. The method allows us to deal with short- and long-range interactions and is applicable from the transient to the steady-state regime. Furthermore, memory effects are consistently incorporated and the results are not plagued by negative densities or non-conservation of the electric charge. We employ the method to calculate densities and currents with long-range interactions appropriate to low-dimensional leads, and show the occurrence of a jamming effect which drastically reduces the screening time and suppresses the zero-bias conductance. None of these effects are captured by short-range dot-lead interactions.