Geometry-based Optimization of an in-Plane Nanomagnetic Majority Circuit

Nanomagnetic circuits are characterized by propagating information via dipolar coupling. When a nanomagnetic wire is inserted to extract the result of a majority gate it fails to propagate the information in some cases. This happens due to undesired diagonal couplings between magnets of the majority gate and those that compose the wire. In this paper we analyze the dipolar coupling tensor to identify particles involved in such error cases. After that, we minimize undesired interactions and maximize desired ones by inserting geometry alterations in some nanomagnets of interest. All circuits are simulated using a Runge-Kutta numerical implementation of the Landau-Lifshitz-Gilbert equation. The proposed optimized circuit works for all input combinations.