Does a nanowire transistor follow the golden ratio? A 2D Poisson-Schrödinger/3D Monte Carlo simulation study

In this work, we observed the signatures of isotropic charge distributions showing the same attributes as the golden ratio (Phi) described in art and architecture, we also present a simulation study of ultra-scaled n-type silicon nanowire transistors (NWT) for the 5nm CMOS application. Our results reveal that the amount of mobile charge in the channel is determined by the device geometry and could also be related to the golden ratio (Phi). We also established a link between the main device characteristics, such as a drive and leakage current, and cross-sectional shape and dimensions of the device. We discussed the correlation between the main Figure of Merit (FoM) and the device variability and reliability.