Ballistic Saturation Velocity Modelling beyond Ohm´s Law

The ballistic saturation velocity models were presented and its impact towards the failure of Ohm´s law was evaluated on nano-circuits design. The ballistic transport is predicted in the presence of high electric field and its behavior is characterized by an onset of the critical voltage, Vc. 5-mm resistor shows deviation from Ohm´s law for relatively low voltages above Vc = 1.9 V. When applied to the voltage division and current division circuits, the lower-length resistors are found to have higher resistance as compared to higher-length resistor even if their ohmic values are the same. Consequently, the power consumption will not only be lower, but also will have a linear behavior that affects the figure of merit with tradeoff between frequency and power in nano-circuits. The results presented can have profound effect on characterization and performance evaluation of nano-circuits being considered for various applications.