Chiral Topological Superconductor From the Quantum Hall State

TL;DR

This paper proposes a hybrid system combining quantum Hall states with s-wave superconductors to realize a chiral topological superconductor, which hosts Majorana modes and exhibits non-abelian statistics, advancing the search for this elusive state.

Contribution

The study demonstrates a practical method to realize a chiral topological superconductor using quantum Hall systems in proximity to s-wave superconductors, providing experimental pathways.

Findings

Hybrid system realizes chiral superconductor state

Presence of Majorana zero modes in vortices

Proposed experimental detection methods

Abstract

The chiral topological superconductor in two dimensions has a full pairing gap in the bulk and a single chiral Majorana state at the edge. The vortex of the chiral superconducting state carries a Majorana zero mode which is responsible for the non-abelian statistics of the vortices. Despite intensive searches, this novel superconducting state has not yet been identified in nature. In this paper, we consider a quantum Hall or a quantum anomalous Hall state near the plateau transition, and in proximity to a fully gapped s-wave superconductor. We show that this hybrid system realizes the long sought after chiral superconductor state, and propose several experimental methods for its observation.