Modeling of the Output and Transfer Characteristics of Graphene Field-Effect Transistors

TL;DR

This paper develops a charge-control model for graphene FETs that accurately predicts their output and transfer characteristics, aligning well with experimental data without requiring velocity saturation assumptions.

Contribution

It introduces a novel analytical model based on the Boltzmann equation for graphene FETs, providing explicit expressions for key device parameters.

Findings

Model matches experimental data accurately.

Derives closed-form expressions for conductance and transconductance.

Does not rely on carrier density-dependent velocity saturation.

Abstract

We obtain the output and transfer characteristics of graphene field-effect transistors by using the charge-control model for the current, based on the solution of the Boltzmann equation in the field-dependent relaxation time approximation. Closed expressions for the conductance, transconductance and saturation voltage are derived. We found good agreement with the experimental data of Meric et al. [Nature Nanotechnology 3, 684 (2008)] without assuming carrier density-dependent velocity saturation.