Magnetotransport in extremely-high magnetic fields of La$_{2-x}$Sr$_{x}$CuO$_{4}$ with nearly continuous doping

The doping dependence of the Hall effect and longitudinal magneto-resistance in the high-temperature superconductor La$_{2-x}$Sr$_{x}$CuO$_{4}$ are examined. Samples were grown using Combinatorial Molecular Beam Epitaxy (COMBE), which allows electrical transport measurements with a doping resolution of $\Delta x \approx 0.0002$. This is an increase in doping resolution of about 50-fold compared to typical magneto-resistance measurements. The experiments were performed in pulsed magnetic fields up to 57 T with the goal of investigating transport properties of the magnetically-induced normal state near optimum doping.