Zero-energy Andreev bound states in a HgTe-based topological Josephson junction

In the surface states of a three-dimensional topological insulator, transport is mediated by Dirac-like fermions which exhibit a helical spin polarization. When coupled to superconductors in a Josephson junction, topologically protected zero-energy Andreev bound states are predicted, whose energy varies $4\pi$-periodically with the superconducting phase difference. This results in a fractional $4\pi$-periodic Josephson current. In HgTe-based topological junctions, we observe a $4\pi$-periodic supercurrent as a response to an external rf excitation. Further observations also support the presence of zero-energy states in our HgTe-based junctions.