  The MOS devices are the basic building block of any digital and analog
circuits, where silicon (Si) is the most commonly used material. The
International Technology Roadmap Semiconductor (ITRS) report predicts the gate
length of the MOS device will shrink to 4.5 nm up to 2023, this may create
severe short channel effects (SCEs). Therefore, new channel materials have been
realized, which have shown their potential to maintain the proper balance
between device performance and SECs. Among them, graphene has shown its strong
presence as an alternative channel material in terms of its fascinating
electrical and mechanical properties. It has ultra-high carrier mobility
(77,000 cm2V-1s-1) and saturation velocity, which makes it compatible with
high-speed circuit applications. This review paper has a detailed report on the
several analytical modeling approaches for graphene-based FET device, which
includes the drift-diffusion, gradual channel approximation, virtual source,
and ballistic approaches. The device modeling plays an important role to
predict the device performance and used to reveal the physics behind it. In
addition, the compact model of the device will use in the development of
electronic design automation (EDA) tools, which are used for the circuits
simulation.
