Andreev Reflection without Fermi surface alignment in High T${}_c$-Topological heterostructures

Abstract

We address the controversy over the proximity effect between topological materials and high T${}_c$ superconductors. Junctions are produced between Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and materials with different Fermi surfaces (Bi${}_2$Te${}_3$ \& graphite). Both cases reveal tunneling spectra consistent with Andreev reflection. This is confirmed by magnetic field that shifts features via the Doppler effect. This is modeled with a single parameter that accounts for tunneling into a screening supercurrent. Thus the tunneling involves Cooper pairs crossing the heterostructure, showing the Fermi surface mis-match does not hinder the ability to form transparent interfaces, which is accounted for by the extended Brillouin zone and different lattice symmetries.

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