# The Coulomb drag effect induced by the third cumulant of current

## TL;DR

This paper explores how the third cumulant of current, beyond noise power, can significantly influence the Coulomb drag effect in mesoscopic circuits, highlighting a novel role of classical fluctuations and full counting statistics.

## Contribution

It introduces the concept that the third cumulant of current can mediate Coulomb drag, expanding understanding beyond traditional noise power effects in mesoscopic systems.

## Key findings

- Third cumulant of current can contribute to Coulomb drag.
- Classical fluctuations of the circuit mode can mediate drag.
- Situations where third cumulant dominates are identified.

## Abstract

The Coulomb drag effect arises due to electron-electron interactions, when two metallic conductors are placed in close vicinity to each other. It manifests itself as a charge current or voltage drop induced in one of the conductors, if the current flows through the second one. Often it can be interpreted as an effect of rectification of the non-equilibrium $quantum$ noise of current. Here, we investigate the Coulomb drag effect in mesoscopic electrical circuits and show that it can be mediated by $classical$ fluctuations of the circuit collective mode. Moreover, by considering this phenomenon in the context of the full counting statistics of charge transport we demonstrate that not only the noise power, but also the third cumulant of current may contribute to the drag current. We discuss the situations, where this contribution becomes dominant.