Influence of Carrier-Carrier Scattering on Electron Transport in Monolayer Graphene

TL;DR

This study uses Monte Carlo simulations to analyze how electron-electron scattering affects electron transport in monolayer graphene, revealing significant mobility reduction at moderate densities due to unique linear dispersion effects.

Contribution

It provides the first detailed analysis of electron-electron scattering effects on transport in graphene considering its linear dispersion relation.

Findings

Electron-electron scattering reduces low-field mobility by over 80% at moderate densities.

Pair-wise collisions in graphene do not conserve ensemble average velocity, unlike in conventional semiconductors.

Impact of electron-electron scattering diminishes at high densities due to increased degeneracy.

Abstract

The influence of electron-electron scattering on the distribution function and transport characteristics of intrinsic monolayer graphene is investigated via an ensemble Monte Carlo simulation. Due to the linear dispersion relation in the vicinity of the Dirac points, it is found that pair-wise collisions in graphene do not conserve the ensemble average velocity in contrast to conventional semiconductors with parabolic energy bands. Numerical results indicate that electron-electron scattering can lead to a decrease in the low field mobility by more than 80% for moderate electron densities. At high densities, the impact gradually diminishes due to increased degeneracy.