# Enhanced proximity effect in zigzag-shaped Majorana Josephson junctions

## TL;DR

This paper demonstrates that a zigzag-shaped geometry in Majorana Josephson junctions significantly enhances the proximity effect, leading to more robust Majorana states with larger induced gaps and reduced size, and is insensitive to geometric variations.

## Contribution

The study introduces a zigzag-shaped geometry that eliminates long quasiparticle trajectories, substantially improving Majorana device robustness and performance.

## Key findings

- Induced superconducting gap $E_{gap}$ increased by over an order of magnitude.
- Majorana size $\xi_{M}$ reduced significantly, enhancing stability.
- Device robustness is improved and insensitive to geometric details.

## Abstract

High density superconductor-semiconductor-superconductor junctions have a small induced superconducting gap due to the quasiparticle trajectories with a large momentum parallel to the junction having a very long flight time. Because a large induced gap protects Majorana modes, these long trajectories constrain Majorana devices to a low electron density. We show that a zigzag-shaped geometry eliminates these trajectories, allowing the robust creation of Majorana states with both the induced gap $E_\textrm{gap}$ and the Majorana size $\xi_\textrm{M}$ improved by more than an order of magnitude for realistic parameters. In addition to the improved robustness of Majoranas, this new zigzag geometry is insensitive to the geometric details and the device tuning.