# Electron-Extraction from Excited Quantum Dots with Higher Order Coulomb Scattering

## TL;DR

This paper investigates electron extraction in nanowire-based hot-carrier solar cells, emphasizing the importance of higher-order Coulomb interactions and energy filtering to improve extraction efficiency.

## Contribution

It introduces a detailed many-particle kinetic model that includes higher-order Coulomb effects, providing new insights into electron relaxation and extraction timescales.

## Key findings

- Relaxation times are around 1 ps with lowest order processes.
- Higher-order Coulomb effects can extend timescales to tens of ps.
- Extraction efficiency is low without resonant tunnelling energy filters.

## Abstract

The electron kinetics in nanowire-based hot-carrier solar cells is studied, where both relaxation and extraction are considered concurrently. Our kinetics is formulated in the many-particle basis of the interacting system. Detailed comparison with simplified calculations based on product states shows that this includes the Coulomb interaction both in lowest and higher orders. While relaxation rates of 1 ps are obtained, if lowest order processes are available, timescales of tens of ps arise if these are not allowed for particular designs and initial conditions. Based on these calculations we quantify the second order effects and discuss the extraction efficiency, which remains low unless an energy filter by resonant tunnelling is applied.