Chiral topological superconductor from the quantum Hall state

TLDR

A two‑dimensional chiral topological superconductor has a full bulk gap and a single chiral Majorana edge mode, with vortices hosting Majorana zero modes that enable non‑Abelian statistics, yet this state has not been observed experimentally. In this paper, we consider a quantum Hall or quantum anomalous Hall state near the plateau transition in proximity to a fully gapped s‑wave superconductor. By coupling such a quantum Hall system to an s‑wave superconductor, the hybrid can realize a chiral topological superconductor. We propose several experimental methods for observing this state.

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 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 may realize the chiral topological superconductor state and propose several experimental methods for its observation.