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

Knapp, Christina and Chew, Aaron and Alicea, Jason (2020) Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200727-084626398

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Abstract

Time-reversal-invariant topological superconductor (TRITOPS) wires host Majorana Kramers pairs that have been predicted to mediate a fractional Josephson effect with 4π 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 2π-periodic (depending on conditions that we quantify) unless the phase difference is swept sufficiently quickly. We further analyze topological superconductors with T² = +1 time-reversal symmetry and reveal a rich interplay between interactions and local mixing that can be experimentally probed in nanowire arrays.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2006.10772arXivDiscussion Paper
ORCID:
AuthorORCID
Knapp, Christina0000-0002-5982-8107
Chew, Aaron0000-0003-0448-6215
Alicea, Jason0000-0001-9979-3423
Group:Walter Burke Institute for Theoretical Physics
Record Number:CaltechAUTHORS:20200727-084626398
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200727-084626398
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104580
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:27 Jul 2020 16:57
Last Modified:27 Jul 2020 16:57

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