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Motivated by recent experimental results, we study the effect of sizereduction on half-doped manganite, La$_{0.5}$Ca$_{0.5}$MnO$_3$, using thecombination of density functional theory (DFT) and dynamical mean field theory(DMFT). We find that upon size reduction, the charge-ordered antiferromagneticphase, observed in bulk, to be destabilized, giving rise to the stability of aferromagnetic metallic state. Our theoretical results, carried out ondefect-free nanocluster in isolation, establish the structural changes thatfollow upon size reduction to be responsible for this. Our study further pointsout the effect of size reduction to be distinctively different from applicationof hydrostatic pressure. Interestingly, our DFT+DMFT study, additionally,reports the correlation-driven stability of charge-orbitally ordered state inbulk La$_{0.5}$Ca$_{0.5}$MnO$_3$, even in absence of long range magnetic order.

Size control of Charge-Orbital Order in Half-Doped Manganite, La$_{0.5}$Ca$_{0.5}$MnO$_3$