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We study one-dimensional topological SN and SNS long junctions obtained byplacing a topological insulating nanowire in the proximity of either one or twoSC finite-size leads. Using the Majorana Polarization order parameter (MP)introduced in Phys. Rev. Lett. 108, 096802 (2012)(arxiv:1109.5697) we find thatthe extended Andreev bound states (ABS) of the normal part of the wire acquirea finite MP: for a finite-size SN junction the ABS spectrum exhibits azero-energy extended state which carries a full Majorana fermion, while the ABSof long SNS junctions with phase difference $\pi$ transform into twozero-energy states carrying two Majorana fermions with the same MP. Given theirextended character inside the whole normal link, and not only close to aninterface, these Majorana-Andreev states can be directly detected in tunnelingspectroscopy experiments.

Mutation of Andreev into Majorana bound states in long NS and SNS junctions