Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps

Daniel Huertas-Hernando

Department of Physics, Norwegian University of Science and Technology, Trondheim, Norway

Daniel Huertas-Hernando(1), F. Guinea(2), Arne Brataas(1)
1) NTNU, Norway
2) CSIC, Spain

We derive a continuum model for the effective spin orbit interaction in graphene from a tight-binding model including the atomic spin-orbit interaction in Carbon atoms and the effects of curvature and external electric fields. We recover the effective spin-orbit Hamiltonian derived recently by Kane and Mele. We compute realistic estimates for the intrinsic ~ 0.01K and Rashba ~ 0.07K, effective spin-orbit couplings in graphene. Moreover we show that local curvature of the graphene sheet induces an extra spin-orbit coupling of order ~ 0.2K. We also study the effect of spin orbit coupling on derived materials of graphene, like fullerenes, nanotubes, and nanotube caps.