ELECTRONIC-STRUCTURE OF SOME MESOSCOPIC SYSTEMS .2. ELECTRONIC COMPOSITES

We study the electronic properties of a mesoscopic system composed of an array of straight, infinite rods made of an isotropic medium and em bedded in a regular way in an isotropic background. Such a composite s ystem has two-dimensional periodicity in the plane perpendicular to th e rods. Using a Fourier series expansion, the corresponding Schrodinge r equation is solved within the effective-mass approximation. The elec tronic band structure E=E(($) over right arrow k) is computed for the wave vector ($) over right arrow k in the transverse plane, and is ill ustrated by dispersion curves along the principal direction's of the t wo-dimensional Brillouin zone as well as By the histograms of the dens ity of states. The main result is the appearance of absolute energy ga ps in the two-dimensional band structure.