A majority gate for two-dimensional ferromagnets lacking inversion symmetry

TL;DR

This paper demonstrates a proof of concept for a three-input majority gate using topological excitations in a non-centrosymmetric kagome ferromagnet, leveraging edge modes and atomistic simulations.

Contribution

It introduces a novel approach to constructing a majority gate based on topological edge excitations in a specific 2D magnetic material.

Findings

Edge modes enable creation of merons and antimerons at the kagome magnet edge.

Atomistic spin dynamics identify conditions for topological excitation control.

The proposed setup demonstrates functional majority gate operation.

Abstract

The manipulation of topologically protected field configurations, already predicted and experimentally observed in non-centrosymmetric magnets, as skyrmions, merons and antimerons could definitely have potential applications in logic gate operations as carriers of information. Here, we present and elaborate a proof of concept on how to construct a three-input non-canonical majority gate on a kagome ferromagnet lacking inversion symmetry. By taking advantage of the existence of edge modes in a Kagome magnet, it is possible to create topological excitations as merons and antimerons at the edge of the material. Using atomistic spin dynamics simulations, we determine the precise physical conditions for the creation and annihilation of merons and antimerons and, in a second stage, we describe the majority gate functionality.