Landau Days 2015
Landau Days 2015
June, 22-25
Chernogolovka, Russia

Josephson current between topological and conventional superconductors
Date/Time: 14:00 22-Jun-2015
We study the stationary Josephson current in junctions between a topological superconductor and a conventional, topologically trivial superconductor. Such an S-S$_{top}$ junction hosts a Majorana zero mode. The Josephson effect in such an S-S$_{top}$ junction is more complicated than in conventional junctions due to broken time-reversal symmetry. We derive general formulae for the current and bound state spectrum for a class of short topological junctions. The result is strongly asymmetric with respect to the superconducting gaps $\Delta_{triv}$ and $\Delta_{top}$ in the trivial and topological superconductor. In addition to the Majorana zero mode characteristic of an S-S$_{top}$ junction, the junction may or may not host additional sub-gap bound states, depending on parameters. We apply our general formulae to a simple nanowire-based setup. In the tunnelling limit the critical current behaves as $I_c\propto \Delta_{top}/R_N^2$. This is in strong contrast with the Ambegaokar-Baratoff relation: current scales as conductance squared, and only depends on the topological gap $\Delta_{top}$.

Ioselevich Pavel A (Presenter)
(no additional information)

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