Reentrant superconductivity in proximity to a topological insulator

Superconducting hybrid structures with topological order and induced magnetization offer a promising way to realize fault-tolerant quantum computation. However, the effect of interplay between property insulator surface, otherwise known as spin-momentum locking on superconducting proximity effect, still remains be investigated. We relied quasiclassical self-consistent approach consider transition temperature in two-dimensional superconductor/topological (S/TI) junction an in-plane helical TI surface. It has emerged that presence leads nonmonotonic dependence critical thickness for both cases when evolves along or perpendicular interface. The results obtained can helpful designing novel nanodevices better understanding nature superconductivity S/TI systems nonuniform magnetization.