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 embedded in a regular way in an isotropic background. Such a composite system has two-dimensional periodicity in the plane perpendicular to the rods. Using a Fourier series expansion, the corresponding Schrodinger equation is solved within the effective-mass approximation. The electronic band structure E=E(($) over right arrow k) is computed for the wave vector ($) over right arrow k in the transverse plane, and is illustrated by dispersion curves along the principal direction's of the two-dimensional Brillouin zone as well as By the histograms of the density of states. The main result is the appearance of absolute energy gaps in the two-dimensional band structure.