Explicit drain current, charge and capacitance model of graphene field-effect transistors
David Jim\'enez

TL;DR
This paper introduces a compact, physics-based model for the drain current, charge, and capacitance of graphene FETs, facilitating analysis of their DC, AC, and transient behaviors in circuits.
Contribution
It provides the first explicit, closed-form expressions for graphene FET drain current, charge, and capacitances across all operation regions based on a physical drift-diffusion framework.
Findings
Explicit drain current model derived
Closed-form charge and capacitance expressions
Applicable for analog and RF applications
Abstract
I present a compact physics-based model of the drain current, charge and capacitance of graphene field-effect transistors, of relevance for exploration of DC, AC and transient behavior of graphene based circuits. The physical framework is a field-effect model and drift-diffusion carrier transport incorporating saturation velocity effects. First, an explicit model has been derived for the drain current. Using it as a basis, explicit closed-form expressions for the charge and capacitances based on the Ward-Dutton partition scheme, covering continuosly all operation regions. The model is of special interest for analog and radio-frequency applications where bandgap engineering of graphene could be not needed.
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