Abstract
Inelastic neutron scattering measurements have been performed on ${\mathrm{La}}_{5}{\mathrm{Ca}}_{9}{\mathrm{Cu}}_{24}{\mathrm{O}}_{41},$ which consists of edge-sharing ${\mathrm{CuO}}_{2}$ chains and shows an antiferromagnetic long-range order below ${T}_{N}=10.5\mathrm{K}$ with ferromagnetic arrangement within the chain. Although the intrachain coupling is expected to be ferromagnetic from the geometrical structure, it is found that the interactions are weakly antiferromagnetic both parallel and perpendicular to the chain and there exist frustrating interactions between them. It is also found that magnetic excitations are broadened significantly. The broadening is probably enhanced by the frustration and a disorder originating from a structural distortion and doped holes although the broadening at finite Q is expected even in the pure system without frustration and disorder.
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