Splitting of a Cooper pair by a pair of Majorana bound states

We propose a method to probe the nonlocality of a pair of Majorana bound states by crossed Andreev reflection, which is the injection of an electron into one bound state followed by the emission of a hole by the other (equivalent to the splitting of a Cooper pair). We find that, at sufficiently low excitation energies, this nonlocal scattering process dominates over local Andreev reflection involving a single bound state. As a consequence, the low-temperature and low-frequency fluctuations δIi of currents into the two bound states i=1, 2 are maximally correlated: δI1δI2̄=δIi2̄. © 2008 The American Physical Society.