Electrically tunable crossed Andreev reflection in a ferromagnet-superconductor-ferromagnet junction on a topological insulator

Abstract

We investigate the crossed Andreev reflection in a ferromagnet-superconductor-ferromagnet junction on the surface of a topological insulator, where the magnetizations in the left and right leads are perpendicular to the surface. We find that the nonlocal transport process can be pure crossed Andreev reflection or pure elastic cotunneling, and the switch between the two processes can be controlled electrically. Pure crossed Andreev reflection appears for all bias voltages in the superconducting energy gap, which is independent of the configuration of the magnetizations in the two leads. The spin of the crossed Andreev reflected hole could be parallel to the spin of the incident electron, which is brought by the spin-triplet pairing correlation. The average transmission probability of crossed Andreev reflection can be larger than 90%, so a high efficiency nonlocal splitting of Cooper pairs can be generated, and turned on and off electrically.