Controllable Momentum Filter Based on a Magnetically Confined Semiconductor Heterostructure With a $\delta$ -Doping

The magnetically confined semiconductor heterostructure (MCSH) is often used as the momentum filter due to an essentially 2-D process for the electronic tunneling. Taking a typical MCSH into account, we theoretically investigate how to manipulate such momentum filters by the δ-doping technique. The momentum-filtering efficiency can be tuned because of the δ-doping dependence of the electron transmission. The involved MCSH can be employed as a controllable momentum filter.