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We have performed a fully relativistic first-principles density functionalcalculation examining the surface state of bismuth (Bi) (111) multi-layernanofilm, with up to 20 Bi bilayers, and investigated the Rashba effect andspin texture on the Bi surfaces. We have revealed a giant out-of-plane spinstates on the Fermi lines, and the maximum value of the out-of-plane spincomponent being approximately 40% of the magnitude of the total spin. We havealso evaluated the Rashba parameter $\alpha_R \simeq 1.9 {\rm eV}\cdot$\AAusing the surface state bands which is buried in the bulk state, at -0.32 eVbelow the Fermi energy.

First-principles study of spin texture and Fermi lines in Bi(111) multi-layer nanofilm