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Topological superconductors, which support Majorana fermion excitations, havebeen the subject of intense studies due to their novel transport properties andtheir potential applications in fault-tolerant quantum computations. Here wepropose a new type of topological superconductors which can be used as a novelsource of correlated spin currents. We show that inducing superconductivity ona AIII class topological insulator wire, which respects a chiral symmetry andsupports protected fermionic end states, will result in a topologicalsuperconductor. This topological superconductor supports two topological phaseswith one or two Majorana fermion end states respectively. In the phase with twoMajorana fermions, the superconductor can split Cooper pairs efficiently intoelectrons in two spatially separated leads due to Majorana induced resonantcrossed Andreev reflections. The resulting currents in the leads are correlatedand spin-polarized. Importantly, the proposed topological superconductors canbe realized using quantum anomalous Hall insulators in proximity tosuperconductors.

Correlated spin currents generated by resonant crossed Andreev reflections in topological superconductors