Fig. 1: Spin filter implementation in scattering from point magnets.
From: Filtering spins by scattering from a lattice of point magnets
a Unpolarized electrons scatter from a single layer of point magnets. The magnets form a square lattice with a lattice constant b. Close to the specific values of the parameters only “spin up” electrons are transmitted. b Unpolarized electrons scatter from two layers of point magnets. This setup can enjoy both high polarization and transmission. Note that the electrons and magnets in (a, b) are depicted as finite-radius spheres for illustrative purposes—in our theoretical model the magnets are pointlike, i.e., they are spheres with a vanishing radius. Our model is accurate for low-energy scattering47,48. c The transmission, T, and polarization, P, coefficients for scattering depicted in (b); \(T\,=\,\frac{{T}_{\uparrow }\,+\,{T}_{\downarrow }}{2}\), where Ts is the transmission coefficient for a given projection of the spin. The parameters of the magnets are a0 = 0, a1 = 0.02b. The distance between the layers, L, is ~88b.
