Graphene Conductivity near the Charge Neutral Point

TL;DR

This paper models graphene's conductivity near the charge neutral point using a phenomenological Boltzmann approach, revealing relationships between minimum conductivity, mobility, and the conductivity profile with strong experimental validation.

Contribution

It introduces a simple Boltzmann-based model linking conductivity, mobility, and profile steepness in graphene near the charge neutral point, supported by experimental data.

Findings

Established a functional relationship between minimum conductivity and mobility.

Validated the model with experimental data.

Linked the conductivity profile steepness to transport properties.

Abstract

Disordered Fermi-Dirac distributions are used to model, within a straightforward and essentially phenomenological Boltzmann equation approach, the electron/hole transport across graphene puddles. We establish, with striking experimental support, a functional relationship between the graphene minimum conductivity, the mobility in the Boltzmann regime, and the steepness of the conductivity parabolic profile usually observed through gate-voltage scanning around the charge neutral point.