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$^{139}$La- and $^{55}$Mn-NMR spectra demonstrate that the ground state ofthe A-site ordered perovskite manganite LaBaMn$_2$O$_6$ is a spatial mixture ofthe ferromagnetic (FM) and antiferromagnetic (AFI(CE)) regions, which areassigned to the metallic and the insulating charge ordered state, respectively.This exotic coexisting state appears below 200 K via a first-order-likeformation of the AFI(CE) state inside the FM one. Mn spin-spin relaxation rateindicates that the FM region coexisting with the AFI(CE) one in LaBaMn$_2$O$_6$is identical to the bulk FM phase of the disordered formLa$_{0.5}$Ba$_{0.5}$MnO$_3$ in spite of the absence of A-site disorder. Thissuggests mesoscopic rather than nanoscopic nature of FM region inLaBaMn$_2$O$_6$\@.Comment: 4 pages, 4 figures, to be published in Phys. Rev. Let

physical review letters

Phase Separation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi></mml:math>-Site-Ordered Perovskite Manganite<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>LaBaMn</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>6</mml:mn></mml:msub></mml:math>Probed by<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>La</mml:…

Phase Separation inA-Site-Ordered Perovskite ManganiteLaBaMn2O6Probed byLa