Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors

• URL: http://arxiv.org/abs/2006.10772v2
• Date: Thu, 9 Jul 2020 00:50:09 GMT
• Title: Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Authors: Christina Knapp, Aaron Chew, Jason Alicea
• Abstract summary: We study the TRITOPS fractional Josephson effect in the presence of time-dependent local mixing perturbations. We show that just as such couplings render braiding of Majorana Kramers pairs non-universal, the Josephson current becomes either aperiodic or $2pi$-periodic.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Time-reversal-invariant topological superconductor (TRITOPS) wires host Majorana Kramers pairs that have been predicted to mediate a fractional Josephson effect with $4\pi$ periodicity in the superconducting phase difference. We explore the TRITOPS fractional Josephson effect in the presence of time-dependent `local mixing' perturbations that instantaneously preserve time-reversal symmetry. Specifically, we show that just as such couplings render braiding of Majorana Kramers pairs non-universal, the Josephson current becomes either aperiodic or $2\pi$-periodic (depending on conditions that we quantify) unless the phase difference is swept sufficiently quickly. We further analyze topological superconductors with $\mathcal{T}^2 = +1$ time-reversal symmetry and reveal a rich interplay between interactions and local mixing that can be experimentally probed in nanowire arrays.

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