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Topological contribution of the nulltet supercurrent

Determine whether the dynamically stabilized nonlocal supercurrent (the "nulltet") that couples two contacts which are both voltage-biased relative to a common superconducting island in a three-junction Josephson circuit carries a topological contribution.

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Background

The work studies a Josephson circuit where three superconducting electrodes are connected to a floating superconducting island via separate Josephson junctions. In addition to conventional supercurrents between each contact and the island, the authors observe multiplet resonances (including quartets) and a novel nonlocal supercurrent between two contacts that are both voltage-biased with respect to the island.

This novel branch, termed the "nulltet," arises from synchronization of the phase dynamics and exhibits distinctive Shapiro-step behavior. Given theoretical proposals that similar circuit-mediated multiplet phenomena can host topological features controlled by Josephson energy scales, the authors explicitly raise whether the observed nulltet supercurrent may also carry a topological contribution.

References

We also find an unexpected novel supercurrent, which couples a pair of contacts that are both voltage-biased with respect to the common superconducting island. We show that this supercurrent results from synchronization of the phase dynamics and pose the question whether it should also carry a topological contribution.

Multiplet Supercurrents in a Josephson Circuit (2408.08362 - Arnault et al., 15 Aug 2024) in Abstract