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We study the two orbital double-exchange model in two dimensions in thepresence of antiferromagnetic (AF) superexchange, strong Jahn-Teller coupling,and substitutional disorder. At hole doping x=0.5 we explore the `bicritical'regime where the energy of a ferromagnetic metal and a charge and orbitalordered (CO-OO) CE state are closely balanced, and compare the impact of weakhomogeneous disorder to that of a low density of strong scatterers. Evenmoderate homogeneous disorder suppresses the CE-CO-OO phase and leads to aglass with nanoscale correlations. Dilute strong scatterers of comparablestrength, however, convert the CE-CO-OO phase to a phase separated state withferromagnetic and AF-CO-OO clusters. We provide the first spatial descriptionof these phenomena and compare our results in detail to experiments on thehalf-doped manganites.

The Distinct Effects of Homogeneous Weak Disorder and Dilute Strong Scatterers on Phase Competetion in the Manganites