Bending effect on the Majorana bound states in planar Josephson junctions

Area of Science:

• Condensed Matter Physics
• Topological Superconductivity
• Quantum Information Science

Background:

• Majorana bound states (MBSs) are exotic quasiparticles with potential applications in topological quantum computing.
• Josephson junctions are crucial components in realizing topological superconducting devices.

Purpose of the Study:

• To investigate the impact of geometric bending on the formation and robustness of MBSs in V-shaped Josephson junctions.
• To explore methods for enhancing the stability of MBSs under geometric variations.

Main Methods:

• Theoretical modeling of MBS formation in bent Josephson junctions.
• Analysis of the eigenspectrum and Majorana polarization (MP) to characterize MBS properties.
• Investigating the influence of superconducting phase difference on MBS robustness.

Main Results:

• MBSs remain robust against moderate bending angles in V-shaped Josephson junctions.
• Degradation of MBSs is observed beyond critical bending angles, detectable via eigenspectrum and MP.
• Tuning the superconducting phase difference significantly expands the parameter space for robust MBS formation.

Conclusions:

• Geometric design, specifically junction bending, offers a tunable parameter for controlling MBS properties.
• The interplay between junction geometry and device parameters provides flexibility in designing topological superconducting devices.
• Majorana polarization (MP) analysis is essential for characterizing Majorana states in such systems.