ELECTRONIC STATES IN ANTIDOT LATTICES - SCATTERING-MATRIX FORMALISM

A method of full quantum-mechanical calculation of the energy bands wi th the use of the S matrix is developed in antidot lattices subjected to a uniform perpendicular magnetic field. It can simplify the calcula tions considerably in comparison with other methods because only sever al traveling and a few evanescent modes are sufficient to give accurat e results. The resulting energy bands are extremely complicated for re alistic antidots. Calculated density of states are analyzed semiclassi cally in terms of the periodic orbit theory.