Soft x-ray resonant diffraction study of magnetic and orbital correlations in a manganite near half-doping
K. J. Thomas, J. P. Hill, Y-J. Kim, S. Grenier, P. Abbamonte, L., Venema, A. Rusydi, Y. Tomioka, Y. Tokura, D. F. McMorrow, M. van, Veenendaal

TL;DR
This study uses resonant x-ray diffraction at the Mn L-edge to compare magnetic and orbital correlations in a manganite near half-doping, revealing differences in correlation lengths and spectral weight shifts that challenge traditional models.
Contribution
It provides the first direct comparison of magnetic and orbital correlations in Pr0.6Ca0.4MnO3 using resonant x-ray diffraction, highlighting discrepancies with classical charge-ordering theories.
Findings
Magnetic correlation length exceeds orbital correlation length by nearly a factor of two.
Large (~3 eV) spectral weight shift observed between magnetic and orbital line shapes.
Results challenge the classical Goodenough charge-ordering picture.
Abstract
We have utilized the resonant x-ray diffraction technique at the Mn L-edge in order to directly compare magnetic and orbital correlations in the Mn sub-lattice of Pr0.6Ca0.4MnO3. The resonant line shape is measured below T_OO ~ 240 K at the orbital ordering wave vector (0,1/2,0), and below T_N ~ 175 K at the antiferromagnetic wave vector (1/2,0,0). Comparing the width of the super-lattice peaks at the two wavevectors, we find that the correlation length of the magnetism exceeds that of the orbital order by nearly a factor of two. Furthermore, we observe a large (~ 3 eV) shift in spectral weight between the magnetic and orbital line shapes, which cannot be explained within the classic Goodenough picture of a charge-ordered ground state. To explain the large shift, we calculate the resonant line shapes for orbital and magnetic diffraction based on a relaxed charge-ordered model.
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