Interaction effects on counting statistics and the transmission distribution

TL;DR

This paper explores how weak interactions influence charge transfer statistics in mesoscopic conductors, revealing that at low energies, all conductors resemble simple tunnel junctions, classified into two main types.

Contribution

It introduces a non-perturbative method to incorporate interaction effects into the energy dependence of transmission eigenvalues in mesoscopic conductors.

Findings

All conductors behave like single or double tunnel junctions at low energies.

Interaction effects can be modeled as energy-dependent transmission eigenvalues.

The classification into two broad classes simplifies understanding mesoscopic transport.

Abstract

We investigate the effect of weak interactions on the full counting statistics of charge transfer through an arbitrary mesoscopic conductor. We show that the main effect can be incorporated into an energy dependence of the transmission eigenvalues and study this dependence in a non-perturbative approach. An unexpected result is that all mesoscopic conductors behave at low energies like either a single or a double tunnel junction, which divides them into two broad classes.