Spectral Properties of Superlattices with Anisotropic Inhomogeneities. The Transition from 3D to 1D Disorder
Waves in the superlattice (SL) contained inhomogeneities with anisotropic correlation properties are considered. The anisotropy of the correlations is characterized by the parameter , where and are the correlation wave numbers along the axis of the SL and in the plane of its layers, respectively ( and are the correlation radii). Dependencies of both the dynamic susceptibility and density of states at the continuous transition from the isotropic three-dimensional inhomogeneities ( ) to the one-dimensional ones ( ) have been obtained.
V.A. Ignatchenko and A.V. Pozdnyakov, "Spectral Properties of Superlattices with Anisotropic Inhomogeneities. The Transition from 3D to 1D Disorder", Solid State Phenomena, Vols. 168-169, pp. 85-88, 2011