“…According to many researchers, the phenomenon of the critical quantum chaos have been observed in the quasi periodic systems, the systems with two interacting electrons and the fractal matrices (Evangelou & Pichard, 2000;Evangelou, 2001). Furthermore, the superconductors investigated, in which phonon mediated attractive electron-electron interaction leads to form quasi-particles, namely Cooper pairs (Aoki et al, 1996;Egami et al, 2002;Tsudo & Shimada, 2003), constitute a natural laboratory for searching and observing quantum critical chaotic points . In this section, the optimally oxygen doped superconducting samples have been investigated by referring to T c and T PME temperatures extracted from the magnetic susceptibility versus temperature data taken by Quantum Design SQUID susceptometer model MPMS-5S.…”