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We study theoretically the proximity effect of a one-dimensional metallicquantum wire (in the absence of spin-orbit interaction) lying on top of anunconventional superconductor. Three different material classes are consideredas a substrate: (i) a chiral superconductor in class D with brokentime-reversal symmetry; a class DIII superconductor (ii) with and (iii) withouta nontrivial Z2 number. Interestingly, we find degenerate zero energy Majoranabound states at both ends of the wire for all three cases. They are unstableagainst spin-orbit interaction in case (i) while they are topologicallyprotected by time-reversal symmetry in cases (ii) and (iii). Remarkably, weshow that non-local spin correlations between the two ends of the wire can besimply controlled by a gate potential in our setup.

Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor