We show that Josephson junctions made of multiband semiconductors with strong spin-orbit coupling carry a critical supercurrent Ic that contains information about the non-trivial topology of the system. In particular, we find that the emergence and annihilation of Majorana bound states in the junction is reflected in strong even-odd effects in Ic at small junction transparency. This effect allows for a mapping between Ic and the topological phase diagram of the junction, thus providing a dc measurement of its topology.
@article{arxiv.1309.2239,
title = {Mapping the Topological Phase Diagram of Multiband Semiconductors with Supercurrents},
author = {Pablo San-Jose and Elsa Prada and Ramón Aguado},
journal= {arXiv preprint arXiv:1309.2239},
year = {2014}
}