High Field Hall Effect and Resistivity in High-$T_{c}$ La$_{2-x}$Sr$_{x}$CuO$_{4}$*

Hall effect and resistivity measurements were performed in a set of La$_{2-x}$Sr$_{x}$CuO$_{4}$ thin film samples in magnetic field up to 60T. The Sr doping, x, was varied between 0.08 and 0.22. The resistivity and Hall voltage were measured simultaneously using digital lockin technique developed at NHMFL. We find a pronounced minimum in the doping dependence of the Hall coefficient, suggesting a common phenomenon which is generic for high temperature superconductors. This Hall effect anomaly is most readily associated with a phase transition near optimal doping where superconductivity is most robust.