Cloaking spin-1/2 matter waves

A physical construct for the cloaking of relativistic spin-1/2 matter waves is proposed. It is shown that when the effective energy and mass of relativistic spin-1/2 particles moving in an effective vector field in a spherical shell are controlled, their matter waves can be perfectly guided through the shell without any distortion or loss; that is, the construct provides a three-dimensional cloaking shell for relativistic spin-1/2 matter waves. The proposal serves as the basis for some interesting applications such as providing a method to guide the matter waves of spin particles and an ideal setup to exhibit spin-spin interactions as well as perfect quantum interferences of some global effects in spin-1/2 matter waves.