Implementation of the Toffoli and Peres reversible logic gates using magnetic skyrmions in operational gates

Abstract

Micromagnetic simulations have been used to create reversible logic gates that utilize magnetic skyrmions as input and output signals. The geometrical design of the logic devices consists of a two-dimensional assembly of ferromagnetic nanotracks, resembling rectangular grooves. Drawing an analogy to the billiard-ball model, this study takes into account elastic collisions between magnetic skyrmions and introduces the concept of control skyrmion. The application of spin-polarized currents to the system induces the motion of magnetic skyrmions along the nanotracks. The synchronized movement of magnetic skyrmions across the operational logic gates, required for their interaction, is achieved by incorporating multiple triangular magnetic notches along the nanotracks. Short polarized current pulses are then applied through the logic gates to facilitate this process. We have successfully implemented the XOR/AND and Full Adder logic gates as well as the reversible Toffoli and Peres logic gates using skyrmion-based architectures for computing. Our results offer valuable guidelines for leveraging magnetic skyrmions as digital signals in skyrmion-based computing systems.