Coexistence of the superconducting energy gap and pseudogap above and below the transition temperature of superconducting cuprates

We express the superconducting gap, $\mathrm{\Delta }(T)$, in terms of thermodynamic functions in both $s$- and d-wave symmetries. Applying to Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and Y${}_{0.8}$Ca${}_{0.2}$Ba${}_2$Cu${}_3$O${}_{7-\delta }$ we find that for all dopings $\mathrm{\Delta }(T)$ persists, as a partial gap, high above $T_c$ due to strong superconducting fluctuations. Therefore in general two gaps are present above $T_c$, the superconducting gap and the pseudogap, effectively reconciling two highly polarized views concerning pseudogap physics.