# Quantized charge transport in chiral Majorana edge modes

## TL;DR

This paper demonstrates that Majorana edge modes in nanoscopic Shiba islands exhibit universal, quantized charge conductance proportional to the Chern number and carry chiral supercurrents, advancing topological quantum device prospects.

## Contribution

It reveals the universal electronic and transport properties of Majorana modes in Shiba islands, including quantized conductance and chiral supercurrents, linking them to topological invariants.

## Key findings

- Majorana modes have quantized charge conductance proportional to Chern number.
- Majorana modes carry chiral supercurrents reflecting the Chern number sign.
- Shiba islands are promising for future topological quantum devices.

## Abstract

Majorana fermions can be realized as quasiparticles in topological superconductors, with potential applications in topological quantum computing. Recently, lattices of magnetic adatoms deposited on the surface of s-wave superconductors - Shiba lattices - have been proposed as a new platform for topological superconductivity. These systems possess the great advantage that they are accessible via scanning-probe techniques, and thus enable the local manipulation and detection of Majorana modes. Realizing quantum bits on this basis will rely on the creation of nanoscopic Shiba lattices, so-called Shiba islands. Here, we demonstrate that the topological Majorana edge modes of such islands display universal electronic and transport properties. Most remarkably, these Majorana modes possess a quantized charge conductance that is proportional to the topological Chern number, C, and carry a supercurrent whose chirality reflects the sign of C. These results establish nanoscopic Shiba islands as promising components in future topology-based devices.