Engineering inter-band coupling in a two-band superconductor by topological defects

Abstract: The vast majority of superconductors have more than one Fermi surface, on which the electrons pair below the critical temperature TC, yet their superconducting behavior can be well described by a single-band Bardeen-Cooper-Schrieffer theory. This is mostly due to inter-band scattering, especially in superconductors in the dirty limit, rigidly linking the pairing amplitude of the different bands. This effect has severely limited experimental studies of the complex physics of multi-band superconductivity. In this study, we utilize the fact that elementary Pb - as a clean limit system - has two Fermi surfaces that are only weakly coupled by inter-band scattering, allowing the formation of two separate condensates. By studying elementary crystal defects in the form of stacking faults with our millikelvin scanning tunneling microscope, we show how to locally tune inter-band coupling ranging from weak to strong coupling and modify the superconducting order parameters around defects. The experiments critically test the theory of multi-band superconductors and give a route to access a wide range of predicted quantum effects in these systems.