Roadmap of the iron-based superconductor Majorana platform

With a series of recent breakthroughs,iron-based superconductors(FeSC)with a topological Dirac surface state are becoming a promising material platform for hosting Majorana zero modes,which we refer to as the iron-Majorana platform.This platform uniquely combines high-Tcsuperconductivity,a topological band structure,and electron correlations into a single material,successfully avoiding the difficulties of achieving intrinsic p-wave topological superconductors and superconductor/topological insulator heterojunction systems.The most important advantages of the iron-Majorana platform are its wide topological region and large quasiparticle gap,which provide strong topological protection for pure Majorana zero modes(MZMs).When the superconductor/topological insulator heterojunction systems,e.g.,In As/Al nanowire,have the controversies of being trivial Majorana-like states,the iron-Majorana platform,which possesses well-understood physics and clear experimental evidence of vortex MZMs,is more likely to be a true MZM.However,unlike the nanowire Majorana systems with clear theoretical proposals for braiding schemes,the iron-Majorana system has no concrete method for exchanging the vortex MZMs or constructing a topological qubit.In this article,we propose a roadmap of the future efforts required for more physical exploration and achieving the non-Abelian exchange statistics of MZMs based on the iron-Majorana platform.