Abstract
One of the fascinating properties of a pair of spatially separated Majorana Fermions emerged in solid state materials is their inherent non-locality. We consider two half metals coupled to a one-dimensional finite-length topological superconductor. We find that zero-energy Majorana Fermions (ZMFs) induce a striking non-local spin-blocking effect, in which the one side tunneling process is affected by the spin polarization of the other side ZMF, similar to the electron teleportation phenomena reported by Fu [Phys. Rev. Lett. 104, 056402 (2010)]. In contrast, for non-zero-energy Majorana Fermions (NMFs), the right and left spin-relating tunneling processes are completely independent. These findings reveal that, for uncoupled but paired ZMFs, there exists cross-correlation between the tunneling events. Our finding may provide some new insight into identify Majorana Fermions.
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