Calculation of surface states using a one-dimensional scattering model

The complex electronic band structure of a one-dimensional solid is described using a one-dimensional scattering approach. The method yields the value of the wave function and its derivative between the atomic layers. These values can be matched at the surface to the corresponding values of the wave function on the vacuum side. The method is compared to the two-band approximation of the nearly free electron model. Advantages of the proposed scheme are the easy adaption for layered systems and alloys.