Magnetotransport of La$_{(2-x)}$Sr$_x$CuO$_4$ with nearly continuous doping in intense magnetic fields

Pulsed magnetic fields of up to 57 T were used to measure the Hall resistivity and longitudinal magnetoresistance of La$_{(2-x)}$Sr$_x$CuO$_4$ to low temperatures by suppressing the superconducting state. The samples were grown using Combinatorial Molecular Beam Epitaxy (COMBE) where the Sr concentration -- and hence carrier doping, p -- changes continuously across the sample. Performing 30 simultaneous transport measurements on a single growth allows for unprecedented resolution in doping ($\Delta p \approx 0.0002$). We examine the phase diagram of the resistive state in this hole-doped cuprate by measuring a series of COMBE samples.