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Majorana dc Josephson current mediated by a quantum dot.

Luting Xu1, Xin-Qi Li1, Qing-Feng Sun2,3

  • 1Center for Advanced Quantum Studies and Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China.

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We studied Josephson supercurrent in hybrid Majorana-quantum dot-Majorana junctions. Spin-selective coupling in the topological phase leads to counterintuitive supercurrent behavior, distinct from normal phase junctions.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Josephson junctions are crucial for quantum technologies.
  • Hybrid systems with Majorana zero modes offer potential for topological quantum computing.
  • Understanding supercurrent behavior in these systems is key to their application.

Purpose of the Study:

  • Investigate Josephson supercurrent in hybrid Majorana-quantum dot-Majorana junctions.
  • Analyze the impact of spin-selective coupling on supercurrent.
  • Compare the system's behavior to conventional superconductor-quantum dot-superconductor junctions.

Main Methods:

  • Theoretical analysis of Josephson supercurrent.
  • Inclusion of spin-selective coupling effects.
  • Consideration of full setup parameters and periodic currents.

Main Results:

  • Discovered counterintuitive supercurrent behavior unique to the topological phase.
  • Identified influence of spin-selective coupling, especially in bent junctions or magnetic fields.
  • Demonstrated significant differences from resonant tunneling in normal phase junctions.

Conclusions:

  • The Josephson supercurrent in hybrid Majorana systems exhibits unique, counterintuitive properties.
  • Spin-selective coupling plays a critical role in shaping the supercurrent.
  • Findings are relevant for advancing Majorana-nanowire circuit applications.