Electronic surface states on (110) aluminum

We have calculated the projection of the three-dimensional energy bands of aluminum onto the two-dimensional Brillouin zone (BZ) of the (110) face. Using a pseudopotential constructed in the same way as that in our publication on the (001) face, we have calculated eigenvalues and eigenfunctions at high-symmetry points of the two-dimensional BZ for (110) thin films. Contrary to the results of Boudreaux, who found no (110) surface states, we find that surface states exist in the energy gaps of the projected bands at all high-symmetry points ($\overline{\Gamma }, \overline{Y}, \overline{S}, \mathrm{and} \overline{X}$) of the two-dimensional BZ.