Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures

TL;DR

This paper presents a comprehensive analysis of the far-from-equilibrium properties of interacting nanostructures, combining numerical and analytical methods to reveal new insights into their current-voltage behavior.

Contribution

It introduces a dual approach using time-dependent DMRG and integrability techniques to study the self-dual interacting resonant level model at zero temperature.

Findings

Power law decay of current at large voltages for positive interaction U

Excellent agreement between numerical and analytical methods

Enhanced understanding of non-equilibrium transport in nanostructures

Abstract

We calculate the full $I-V$ characteristics at vanishing temperature in the self-dual interacting resonant level model in two ways. The first uses careful time dependent DMRG with large number of states per block and a representation of the reservoirs as leads subjected to a chemical potential. The other is based on integrability in the continuum limit, and generalizes early work of Fendley Ludwig Saleur on the boundary sine-Gordon model. The two approaches are in excellent agreement, and uncover among other things a power law decay of the current at large voltages when $U>0$.