  We have performed a fully relativistic first-principles density functional
calculation examining the surface state of bismuth (Bi) (111) multi-layer
nanofilm, with up to 20 Bi bilayers, and investigated the Rashba effect and
spin texture on the Bi surfaces. We have revealed a giant out-of-plane spin
states on the Fermi lines, and the maximum value of the out-of-plane spin
component being approximately 40% of the magnitude of the total spin. We have
also evaluated the Rashba parameter $\alpha_R \simeq 1.9 {\rm eV}\cdot$\AA
using the surface state bands which is buried in the bulk state, at -0.32 eV
below the Fermi energy.
