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Portrait of Martin Leijnse; Photo: Kennet Ruona

Martin Leijnse

Professor, Member of NanoLund Management Group

Portrait of Martin Leijnse; Photo: Kennet Ruona

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

Author

  • Michael Hell
  • Jeroen Danon
  • Karsten Flensberg
  • Martin Leijnse

Summary, in English

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.

Department/s

  • Solid State Physics
  • NanoLund: Center for Nanoscience

Publishing year

2016-07-15

Language

English

Publication/Series

Physical Review B

Volume

94

Issue

3

Document type

Journal article

Publisher

American Physical Society

Topic

  • Condensed Matter Physics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1098-0121