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Antiferromagnetic-insulating(AF-I) and the ferromagnetic-metallic(FM-M)phases coexist in various half-doped manganites over a range of temperature andmagnetic field, and this is often believed to be an essential ingredient totheir colossal magnetoresistence. We present magnetization and resistivitymeasurements on Pr(0.5)Ca(0.5)Mn(0.975)Al(0.025)O(3) and Pr(0.5)Sr(0.5)MnO(3)showing that the fraction of the two coexisting phases at low-temperature inany specified measuring field H, can be continuously controlled by followingdesigned protocols traversing field-temperature space; for both materials theFM-M fraction rises under similar cooling paths. Constant-field temperaturevariations however show that the former sample undergoes a 1st order transitionfrom AF-I to FM-M with decreasing T, while the latter undergoes the reversetransition. We suggest that the observed path-dependent phase-separated statesresult from the low-T equilibrium phase coexisting with supercooled glass-likehigh temperature phase, where the low-T equilibrium phases are actuallyhomogeneous FM-M and AF-I phases respectively for the two materials

Coexisting tunable fractions of glassy and equilibrium long-range-order phases in manganites