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This study reveals a novel topological superconducting phase in a Josephson junction bilayer hosting robust Majorana corner states (MCSs). These states

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Area of Science:

  • Condensed Matter Physics
  • Topological Materials
  • Superconductivity

Background:

  • Josephson junction bilayers with Rashba spin-orbit interaction are crucial for exploring exotic quantum phenomena.
  • Proximity-induced superconductivity in layered systems offers tunable electronic properties.

Purpose of the Study:

  • To investigate the emergence of topological superconducting phases in a Josephson junction bilayer.
  • To identify and characterize Majorana corner states (MCSs) in this system.
  • To explore the tunability of MCSs by controlling superconducting phase differences and Zeeman fields.

Main Methods:

  • Theoretical modeling of a bilayer system with Rashba spin-orbit interaction and s-wave superconductors.
  • Analysis of the system's phase diagram to identify topological phases.
  • Investigation of Majorana corner states' localization and robustness.

Main Results:

  • A second-order topological superconducting phase hosting two Majorana corner states (MCSs) is predicted.
  • MCSs are located at specific corners in a rectangular geometry, tunable by Zeeman field direction.
  • MCSs exhibit robustness against static and magnetic disorder.
  • The relocation of MCSs is observed with deviations in the superconducting phase difference from π.

Conclusions:

  • The proposed Josephson junction bilayer provides a promising platform for realizing and controlling Majorana corner states.
  • The tunability of MCSs offers potential for fault-tolerant topological quantum computing.
  • Experimental realization is feasible through magnetic flux control or magnetic impurity layers.