Spin-texture and magnetic anisotropy of Co adsorbed Bi${}_2$Se${}_3$ topological insulator surfaces

Abstract

Based upon first-principles methods, we investigate the magnetic anisotropy and the spin-texture of Co adatoms embedded in the topmost Se network of the topological insulator Bi${}_2$Se${}_3$ surface. We find the formation of energetically stable magnetic moment perpendicular to the surface plane, S${}_z$. Our results for the pristine Bi${}_2$Se${}_3$ surface indicate the presence of helical spin-texture not only in the massless surface Dirac states, but also surface states resonant within the valence band present spin-texture. On the other hand, upon the presence of Co adatoms we find that the out-of-plane surface magnetism represents the dominant spin state (S${}_z$), while the planar spin components, S${}_x$ and S${}_y$, are almost suppressed.

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