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The excitation spectrum in single-layered Nd(0.33)Sr(1.67)MnO4 and Pr(0.33)Ca(1.67)MnO4 resembles the hourglass-like excitation dispersion seen in various cuprates superconductors. However, our spin-wave dispersion in Pr(0.33)Ca(1.67)MnO4, which exhibits a large correlation length of the magnetic order, showing outward-dispersing branches starting from the incommensurate zone-centres. The magnetic correlation length is identified as the decisive parameter to suppress this branches and generating an correct hourglass shape.

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