Time scales for Majorana manipulation using Coulomb blockade in gate-controlled superconducting nanowires

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Abstract

We numerically compute the low-energy spectrum of a gate-controlled superconducting topological nanowire segmented into two islands, each Josephson coupled to a bulk superconductor. This device may host two pairs of Majorana bound states and could provide a platform for testing Majorana fusion rules. We analyze the crossover between (i) a charge-dominated regime utilizable for initialization and readout of Majorana bound states, (ii) a single-island regime for dominating interisland Majorana coupling, (iii) a Josephson-plasmon regime for large coupling to the bulk superconductors, and (iv) a regime of four Majorana bound states allowing for topologically protected Majorana manipulations. From the energy spectrum, we derive conservative estimates for the time scales of a fusion-rule testing protocol proposed recently (D. Aasen, arXiv:1511.05153). We also analyze the steps needed for basic Majorana braiding operations in branched nanowire structures.

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Authors
Organisations
External organisations
  • University of Copenhagen
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Condensed Matter Physics
Original languageEnglish
Article number035424
JournalPhysical Review B
Volume94
Issue number3
Publication statusPublished - 2016 Jul 15
Publication categoryResearch
Peer-reviewedYes