Finite size effects and the effect of disorder on electronic phase separation in Pr_(0.5)Ca_(0.5)Mn_(1-x)Al_(x)O_(3)

We report a bulk magnetisation study of the low temperature magnetic phases in the Mn site substituted half doped manganite series Pr_(0.5)Ca_(0.5)Mn_(1-x)Al_(x)O_(3). Our results indicate the formation of self organised structures in this series of compounds which is driven by electronic phase separation and stabilised by the presence of finite quenched disorder, thus providing a basis for understanding the anomalously large supression of the CE phase in the presence of disorder. Striking magnetic memory effects similar to that seen in spin glasses and interacting superparamagnets are also observed. Increasing disorder is seen to make electronic phase separation weaker owing to the destabilisation of the CE state which results in an enhanced mobility of the charge carriers.