Localized states in superconductors from magnetic adatoms, chains, and latices

Magnetic adatoms on the surface of superconductors support localized states, known as Yu-Shiba-Rusinov states, that can be used as building blocks for larger structures. Experimental evidence has suggested that chains of such adatoms support topological superconductivity and thus support Majorana zero modes at their ends. After introducing recent experimental and theoretical efforts interfacing magnetic adatoms and superconductors, I propose a lattice of adatoms with a specific magnetic texture, a chain of antiferromagnetic skyrmions, as a realization of topological superconductivity. Upon calculating the phase diagram of this system, we find that such a texture can also host Majorana zero modes at its ends.