The phase diagram of (La$_{1-y}$Pr$_{y})_{1-x}$Ca$_{x}$MnO$_{3}$ where x=0.33 and y=0.25, 0.5 and 0.75.

The manganites have the chemical formula R$_{1-x}$A$_{x}$MnO$_{3}$ where R is a rare earth ion like La, Pr, Nd etc. and A a divalent ion like Ca, Sr, Pb etc.. These materials are known for their colossal magneto resistive (CMR) property and metal to insulator phase transition. Certain compositions of these manganites also show mixed phases of charge ordered insulator (COI) and ferromagnetic metal (FMM). It has been seen that these phases are flexible i.e. they can move around or grow in size by the application of external bias voltage, magnetic field or temperature. One of such materials is (La$_{0.5}$Pr$_{0.5})_{0.67}$Ca$_{0.33}$MnO$_{3}$. To understand the dynamics of the local phase, we have measured a phase diagram of this material. To obtain the phase diagram we first measured resistance (R) as a function of magnetic field (H) of the material at several fixed temperatures. The resistance vs field graph shows hysteretic behavior- a sign of coexistence of both COI and FMM phases. The phase diagram shows 3 regions, namely COI state, mixed phase state and FMM state. An interesting part of this phase diagram is that even in the percolated metallic state, there is still significant COI material present which gives rise to a third phase boundary which resembles the phase diagram of Pr$_{0.67}$Ca$_{0.33}$MnO$_{3}$ (PCMO) ( Amlan Biswas et al. Phys. Rev. B 63, 184424 (2001)).