Recent experiments showed that the robust charge-ordering in manganites can be weakened by reducing the grain size down to nanoscale. Weak ferromagnetism was evidenced in both nanoparticles and nanowires of charge-ordered manganites. To explain these observations, a phenomenological model based on surface phase separation is proposed. The relaxation of superexchange interaction on the surface layer allows formation of a ferromagnetic shell, whose thickness increases with decreasing grain size. Possible exchange bias and softening of the ferromagnetic transition in nanosized charge-ordered manganites are predicted.PACS numbers: 75.50. Tt, 75.47.Lx, 61.30.Hn Perovskite manganites are typical strongly correlated electron systems with a general formula T 1−x D x MnO 3 , where T is a trivalent rare earth element and D is a divalent alkaline earth element. Fascinating properties of manganites, e.g. phase separation (PS), charge-ordering, insulator-metal transition (IMT), etc, were revealed in the last decade.1 Due to the competitive interactions engaged in manganites, various electronic phases of very different magnetotransport behaviors are quite close in free energy, allowing us opportunities to regulate these properties by external perturbations. For instance, both colossal magnetoresistance (CMR) 2 and colossal electroresistance (CER) 3 in manganites are the results of IMT. In general, the sequence of CMR or CER in chargeordered (CO) manganites can be regarded as a melting of the CO phase into ferromagnetic (FM) metal under magnetic or electrical field. However, the required field for such a sequence is too high for practical applications even though the energy gap between the CO and FM phases is small. Recently, nanosized manganites were synthesized and some exotic phenomena associated with the size effect were observed. 5,6,7,8,9,10,11,12,13 One of the most important observations was that the robust charge ordering in bulk manganites was weakened in both nanoparticles and nanowires, accompanied with an appearance of weak ferromagnetism. 5,6,7,8,12,13 Additionally, our experiments showed that the charge ordering observed in bulk La 1/3 Sr 2/3 FeO 3 can be suppressed in nanoparticles.14 An earlier explanation on the size effect in nanosized FM La 0.7 Ca 0.3 MnO 3 , 11 which attributed the enhancement of ferromagnetism to the contraction of lattice volume, seems not applicable to nanosized CO manganites where slight expansion of the lattice volume was observed.
5,6Therefore, an alternative explanation seems to be required for understanding the size effect in nanosized CO manganites.In this Letter, a phenomenological model based on the surface PS state is proposed. Here the CO phase is specified as the CE-type CO phase, which is the common ground state in the half-doped (T 1/2 D 1/2 MnO 3 ) narrow bandwidth manganites.15 In the CE ground state, Mn cations form FM zigzag chains in X-Y plane, with antiferromagnetic (AFM) couplings between the neighboring chains in X-Y plane and neighboring sites along Z axis.16 For...