RELATIVISTIC ENERGY-BANDS OF (010) TUNGSTEN THIN-FILMS

We have made the first complete thin-film energy-band calculation including the spin-orbit interaction. Except for the inclusion of spin-orbit parameters, the method used is identical to the parametrization scheme we have previously applied to several 3d transition metals. Two of the three surface features observed in tungsten(001) photoemission are found near » as well as many other surface states throughout the two-dimensional Brillouin zone. Spin-orbit induced surface states are found in », X», and M» gaps and an unexpected spin-orbit splitting of the degenerate surface states on opposite sides of the film is found and explained. © 1979 The American Physical Society.