Manipulable wave-vector filtering in a δ-doped magnetic-barrier nanostructure

We theoretically explore the control of the wave-vector filtering (WVF) effect in a realistic magnetic-barrier nanostructure with a δ -doping, which can be experimentally realized by depositing a ferromagnetic stripe on the top of a GaAs/AlxGa1−x As heterostructure. It is shown that an obvious WVF effect still exists when a δ-doping is introduced into the device. It is also shown that the degree of the WVF effect can be controlled by tuning the weight and/or the position of the δ-doping.