Compact Models for Transient Analysis of Single-Layer Graphene Nanoribbon Interconnects

Carbon based interconnects have shown immense potential as a candidate to replace traditional copper interconnects for on-chip applications. In that, 2D Graphene Nanoribbon (GNR) interconnects offer superior electrical properties owing to larger mean free paths of electrons and better current carrying capabilities. Single-layer GNR interconnects can be considered as the simplest form of planar carbon-based interconnects for on-chip applications. In this paper, we present closed-form models for computing transfer function of single-layer GNR interconnects. Further, we present the transient analysis of these interconnects, in that we report analytical solutions for 50% delay time, 90% rise time and energy dissipation. The proposed models exhibit excellent accuracy when compared to simulated data while providing physical insights into the effect of quantum capacitance on 50% delay and energy estimation. The proposed models are highly accurate, in that they closely match with data generated from simulations as well as that in the previously published literature.