The Pauli principle and the Monte Carlo Method for charge transport in graphene

TL;DR

This paper explores incorporating the Pauli principle into Monte Carlo simulations for charge transport in graphene, comparing different algorithms to improve physical accuracy.

Contribution

It introduces a modified Monte Carlo method that applies the Pauli principle during free flight steps, enhancing the simulation of charge transport in graphene.

Findings

The new method aligns better with physical expectations.

It outperforms standard techniques in handling Pauli's principle.

Results show improved accuracy in charge transport modeling.

Abstract

The attempt to include the Pauli principle in the Monte Carlo method by acting also on the free flight step and not only at the end of each collision is investigated. The charge transport in suspended monolayer graphene is considered as test case. The results are compared with those obtained in the standard Ensemble Monte Carlo technique and in the new Direct Simulation Monte Carlo algorithm which is able to correctly handle with Pauli's principle. The physical aspects of the investigated approach are analyzed as well.