Coexistence of superconducting gap and pseudogap above and below $T_c$ in cuprates

We develop a new method to calculate the full $T$-dependent superconducting (SC) gap from thermodynamic measurements and apply to the cuprates. We find that the SC gap persists high above $T_c$ due to strong SC fluctuations and coexists there with the pseudogap. This allows the (disputed) phase diagram to be mapped more accurately than previously. We apply the results below $T_c$ to understand the doping and temperature evolution of critical currents in practical conductors.