Surface polaritons in a finite superlattice with a displaced layer in a quantizing magnetic field

Abstract

A theoretical study is made of surface polaritons (SPs) in a weakly disordered superlattice consisting of a finite number of infinitely extended two-dimensional electron layers (2DELs) placed in an external static quantizing magnetic field directed perpendicular to the 2DELs. The filling factor of the Landau levels is assumed to be the same in all the 2DELs. The disorder in the superlattice consists in having one of the interior 2DELs displaced from the position of periodicity by a certain distance Δ. The dispersion and energy characteristics of SPs are investigated in the case when a finite superlattice is embedded in a uniform dielectric medium. It is shown that under conditions of the integer quantum Hall effect, all the characteristics of the SPs are represented by quantized values. It is found that in a finite, weakly disordered superlattice there exists a local SP mode whose properties differ substantially from those of the usual SP modes in a finite ordered superlattice. The conditions under which ...