The effect of the phase separation in the phase diagram of cuprate superconductors

We show that the main features of the cuprates superconductors phase diagram can be derived considering the disorder as a key property of these materials. Our basic point is that the high pseudogap line is an onset of phase separation which generates compounds made up of regions with distinct doping levels. We calculate how this continuous temperature dependent phase separation process occurs in high critical temperature superconductors (HTSC) using the Cahn-Hilliard approach. Calculations with the BdG approach and an analysis of the local density of states (LDOS), yield good agreement with the measured values of T* and T-c .