Engineering Fractional Topological Superconductors: Numerical Bogoliubov-de Gennes Analysis for Parafermion Realization in FCI-Superconductor Heterostructures

TL;DR

This paper proposes a method to realize Z3 parafermion zero modes in fractional Chern insulator-superconductor heterostructures using numerical and theoretical analysis, highlighting experimental signatures and strategies.

Contribution

It introduces a practical approach combining numerical Bogoliubov-de Gennes calculations and edge theory to engineer parafermionic excitations in realistic material heterostructures.

Findings

Realistic materials like MoTe2/NbSe2 can host parafermionic zero modes.

Experimental signatures include fractional Josephson effects and interferometry.

Concrete strategies for experimental realization are outlined.

Abstract

We propose a pathway to engineer Z3 parafermion zero modes in fractional Chern insulator-superconductor heterostructures. Using numerical Bogoliubov-de Gennes calculations and edge-theory analysis, we demonstrate how realistic materials such as MoTe2/NbSe2 can host parafermionic excitations with experimentally accessible signatures, including fractional Josephson effects, localized zero modes, interferometry, and thermal transport. Our work outlines concrete strategies for experimentally accessing parafermionic excitations in FCI-superconductor heterostructures.