From Cooper pair splitting to nonlocal spectroscopy of a Shiba state

Cooper pair splitting (CPS) is a way to create spatially separated, entangled electron pairs. To this day, CPS often identified in experiments as spatial current correlation. However, such correlations can arise even the absence of CPS, when quantum dot strongly coupled superconductor, and subgap Shiba state formed. Here, we present detailed experimental characterization those correlations, tunnel barrier strength between neighboring normal electrode tuned. The correlation non-local signal reveals competition probing state. We describe our experiment with simple transport model, obtain couplings device by fitting model's prediction measured conductance curve. Furthermore, use theory extract contribution signal.