Electron-Hole Generation and Recombination Rates for Coulomb Scattering in Graphene

TL;DR

This paper calculates electron-hole generation and recombination rates in graphene due to Coulomb scattering, revealing that phase space restrictions can lead to recombination times exceeding 1 ps at certain densities.

Contribution

It provides a detailed calculation of Coulomb scattering rates in graphene, highlighting conditions for long recombination times based on band structure and conservation laws.

Findings

Recombination times can exceed 1 ps at electron-hole densities below 10^12 cm^-2.

Phase space restrictions significantly influence Coulomb scattering rates.

Recombination and generation processes are quantitatively characterized in graphene.

Abstract

We calculate electron-hole generation and recombination rates for Coulomb scattering (Auger recombination and impact ionization) in Graphene. The conduction and valence band dispersion relation in Graphene together with energy and momentum conservation requirements restrict the phase space for Coulomb scattering so that electron-hole recombination times can be much longer than 1 ps for electron-hole densities smaller than $10^{12}$ cm$^{-2}$.