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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

Coupling and braiding Majorana bound states in networks defined in proximate two-dimensional electron gases

Author

  • Michael Hell
  • Karsten Flensberg
  • Martin Leijnse

Summary, in English

Two-dimensional electron gases with strong spin-orbit coupling covered by a superconducting layer offer a flexible and potentially scalable platform for Majorana networks. We predict Majorana bound states (MBSs) to appear for experimentally achievable parameters and realistic gate potentials in two designs: either underneath a narrow stripe of a superconducting layer (S stripes) or where a narrow stripe has been removed from a uniform layer (N stripes). The coupling of the MBSs can be tuned for both types in a wide range (<1neV to >10μeV) using gates placed adjacent to the stripes. For both types, we numerically compute the local density of states for two parallel Majorana-stripe ends as well as Majorana trijunctions formed in a tuning-fork geometry. The MBS coupling between parallel Majorana stripes can be suppressed below 1 neV for potential barriers in the meV range for separations of about 200 nm. We further show that the MBS couplings in a trijunction can be gate controlled in a range similar to the intrastripe coupling while maintaining a sizable gap to the excited states (tens of μeV). Altogether, this suggests that braiding can carried out on a time scale of 10-100 ns.

Department/s

  • Solid State Physics
  • NanoLund: Center for Nanoscience

Publishing year

2017-07-31

Language

English

Publication/Series

Physical Review B

Volume

96

Issue

3

Document type

Journal article

Publisher

American Physical Society

Topic

  • Other Physics Topics

Status

Published

ISBN/ISSN/Other

  • ISSN: 2469-9950