Suppression of superconductivity in Pr-doped 123-systems: hole localization and hole clustering concepts in CuO2 planes

Doping Pr in 123-systems gives rise to some anomalies, such as critical Temperature suppression. Here, we show that a modification of hole localization theory based on a geometrical modeling by band percolation theory can put forward as a good explanation for the critical temperature suppression for the whole range of Pr-doping value. In this model the key concept of hole clustering is introduced and shown to have a great role near phase transition point, so we can not ignore it in any modeling or calculation. Also we have provided some experimental evidence which manifests an agreement between simulation based on hole clustering effect and the experimental data.