The experimental determination of the quantum critical point (QCP) that controls the self-organization of charged striped domains in cuprate perovskites is reported. The phase diagram of doped cuprate superconductors is determined by the hole doping δ and by a second variable: the micro-strain e of the Cu–O bond length. We have determined the Tc(e,δ) phase diagram by measuring the micro-strain e by Cu K-edge EXAFS. The superconducting phase occurs around the QCP at the critical strain where Tc reaches its maximum. The critical charge, lattice and spin fluctuations near this strain QCP provide the singular interaction for the pairing and show self-organization of local lattice distortions into a metallic superlattice of quantum wires “superstripes” that favors the amplification of the critical temperature.