The Waveguide Behaviour of the Ballistic Carriers in Confined Qantum States

Abstract

Peculiar waveguide properties of quantum waveguides are revealed using a new transfer matrix based approach in the numerical analysis of the quantum well structures. The approach is built on the solution of the 2D Schrodinger equation for the oblique incidence of an electron at the semiconductor hetero-interfaces. Both the interface parallel and interface perpendicular complex electron wave numbers are formulated in each layer of the structure. They help us to find bound states of the electron in the quantum structure via an analysis of the global transfer matrix coefficients. Successively, the rigorous curves of the real mode diagram of the quantum waveguide can be evaluated. As a particular result of it a new type of the quantum structures acting as a selectively coupled quantum waveguide pair is shown. A new effect, the longitudinal mezoscopic periodical charge distribution occuring along the waveguide structure, has been predicted.