Abstract
The nonlocal transport properties of a ferromagnet/superconductor/ferromagnet junction formed on the surface of a three-dimensional topological insulator are investigated. It is found the electron elastic cotunneling and crossed Andreev reflection depend sensitively on the directions of the magnetizations of the two ferromagnets. The basic mechanism behind this effect is that due to the translation invariant along the y-axis, during the tunneling the wave-vector ky of the incident electron must be conserved. The effects of the superconductor length and the bias voltage on the electron elastic cotunneling and crossed Andreev reflection are discussed. If the exchange field is larger than the chemical potential in the ferromagnet leads, a perfect electron elastic cotunneling or crossed Andreev reflection can be obtained in the low-energy regime by varying the magnetization direction in one of the ferromagnet leads.
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