Josephson current through semiconductor nanowire with spin-orbit interaction in magnetic field

Tomohiro Yokoyama, Mikio Eto, Yuli V. Nazarov

Research output: Contribution to journalArticlepeer-review

52 Citations (Scopus)


We theoretically study the DC Josephson effect of a semiconductor nanowire (NW) with a strong spin-orbit interaction when a magnetic field is applied parallel to the NW. We adopt a model of single scatterer in a quasi-onedimensional system for short junctions where the size of a normal region is much smaller than the coherent length. In the case of a single conduction channel, we obtain analytical expressions for the energy levels of Andreev bound states En and supercurrent as a function of the phase difference between two superconductors. We show the 0- transition by tuning the magnetic field. In the case of more than one conduction channel, we find that E n(-)≠ En() from the interplay between the spin-orbit interaction and Zeeman effect, which results in a finite supercurrent at 0 (anomalous Josephson current) and a direction-dependent critical current.

Original languageEnglish
Article number054703
JournalJournal of the Physical Society of Japan
Issue number5
Publication statusPublished - 2013 May


  • Andreev level
  • Anomalous Josephson current
  • Josephson junction
  • Scattering matrix
  • Semiconductor nanowire
  • Spin-orbit interaction

ASJC Scopus subject areas

  • General Physics and Astronomy


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