A Physics-Based Compact Model for Ultrathin Black Phosphorus FETs—Part I: Effect of Contacts, Temperature, Ambipolarity, and Traps

Abstract

We report a physics-based surface-potential compact model to describe current–voltage ( $I$ – $V$ ) relationship in a few-layered ambipolar black phosphorus (BP) transistors. To model the device electrostatics, the 2-D density of states of carriers and Fermi–Dirac statistics are used, while carrier transport is described using the drift-diffusion formalism. The model also comprehends the effects of interface traps and voltage-dependent Schottky-type source/drain contact resistances. Compared with prior BP FET models that are mainly suited for near-equilibrium transport and room-temperature operation, the model developed here is applicable over broad bias and temperature range. Validation of the model against measurement data of BP transistors with gate lengths 300–1000 nm and operating temperature from 200–298 K is demonstrated in a companion article.