Tunable Wave-Vector Filtering Effect for Electrons in a Magnetically and Electrically Confined Semiconductor Heterostructure with a δ-Doping

We theoretically investigate how to manipulate the wave-vector filtering effect by δ-doping for electrons in a magnetically and electrically confined semiconductor heterostructure, which can be constructed by patterning a ferromagnetic stripe and a Schottky-metal stripe in a parallel configuration on the surface of the GaAs/Al x Ga 1−x As heterostructure. The δ-doping dependent transmission is calculated by exactly solving the Schrödinger equation with the help of an improved transfer matrix method. An appreciable wave-vector filtering effect is revealed. Its wave-vector filtering efficiency is found to be tunable by changing the weight or position of the δ-doping. Thus, a structurally controllable momentum filter can be obtained for nanoelectronics device applications.