The Josephson effect in InAs quantum wells with the spin Hall effect

The Josephson supercurrent in ballistic superconductor/normal metal/superconductor (SNS) junctions is carried through the Andreev bound states (ABS) formed in the normal conductor. These virtual states of traversing electrons and holes are modulated but not destroyed by time-reversal symmetry conserving perturbation. However, we found that the critical current of the Nb/InAs/Nb junctions are strongly suppressed by the spin current, which keeps time-reversal symmetry.