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Topological materials host robust surface states, which could form the basisfor future electronic devices. As such states have spins that are locked to themomentum, they are of particular interest for spintronic applications.Understanding spin textures of the surface states of topologically nontrivialmaterials, and being able to manipulate their polarization, is thereforeessential if they are to be utilized in future technologies. Here we usefirst-principles calculations to show that pyrite-type crystals OsX2 (X= Se,Te) are a class of topological material that can host surface states with spinpolarization that can be either in-plane or out-of-plane. We show that theformation of low-energy states with symmetry-protected energy- anddirection-dependent spin textures on the (001) surface of these materials is aconsequence of a transformation from a topologically trivial to nontrivialstate, induced by spin orbit interactions. The unconventional spin textures ofthese surface states feature an in-plane to out-of-plane spin polarizationtransition in the momentum space protected by local symmetries. Moreover, thesurface spin direction and magnitude can be selectively filtered in specificenergy ranges. Our demonstration of a new class of topological material withcontrollable spin textures provide a platform for experimentalists to detectand exploit unconventional surface spin textures in future spin-basednanoelectronic devices.

Selective Control of Surface Spin Current in Topological Materials based on Pyrite-type OsX2 (X = Se, Te) Crystals