Spatial delocalization and perfect tunneling of matter waves: Electron perfect lens

Accepted

It is theoretically demonstrated that electron states in semiconductors/graphene can be perfectly transmitted through a complementary material with dual properties, independent of the angle of incidence. It is shown that such complementary material may also provide a strong spatial delocalization of bounded electronic states, changing dramatically the confinement of the wavefunction, and acting effectively as a lens for the probability wave. The results are the electron analogue of a perfect lens for electromagnetic waves proposed in an earlier work.