Energy bands of (100) copper thin films

We report a tight-binding calculation of the energy bands of a 33-layer (100) copper thin film. Thirty-four parameters for the Hamiltonian matrix were obtained by fitting 214 energy levels in the bulk energy bands calculated by Burdick. The two-dimensional energy bands were calculated at 576 points in the two-dimensional Brillouin zone (2DBZ) with and without a surface-parameter shift. The planar and total densities of states are presented. Our results disagree with those of Gurman and Pendry by having surface states over a larger range of energies and by having surface states at the $M$ point of the 2DBZ.