Impact of electro-magnets on enhanced hall-effect amplifier nanoscale device (HAND) – part 1: Modelling & simulations

A new version of a nanoscale device, based on the famous Hall Effect, and named HAND (Hall Amplifier Nanoscale Device), was designed and analytically modelled, with the goal of implementing the macro-Hall effect on the nano scale. Following the physics of the Hall effect, the device receives a current as an input and creates a voltage as an output, which means it possesses a low input impedance and a high output impedance. While most other nanoscale devices based on the Hall effect are sensors, HAND operates as both an amplifier and a modulator, and it can be expected to find use in electronic circuits at very high frequencies (tens of THz). The first generation of the device required several improvements in advance of future fabrication of the second generation. One of these was enabling an increase of the applied magnetic field to higher values while preventing undesirable overheating of the device. Several approaches were taken toward this end, including changes to the material composition, device geometry, and other physical parameters of the HAND. A renewed mathematical description of the device behavior in DC condition was developed, as well as thorough analytical models for classical Hall Effect, in order to accurate forecast the behavior of the re-designed HAND. The analytical and numerical simulation results matched fully, validating the mathematical model for the case of a spiral coil geometry. This improved device, combining high frequency operation, amplification, the Hall effect, and nanoscale dimensions, is capable of revolutionizing microelectronic circuitry.