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We present the muon spin relaxation/rotation spectra in the multiferroiccompound (Cu,Zn)$_{3}$Mo$_{2}$O$_{9}$. The parent materialCu$_{3}$Mo$_{2}$O$_{9}$ has a multiferroic phase below $T_{\rm N}$ = 8.0 K,where the canted antiferromagnetism and the ferroelectricity coexist. Theasymmetry time spectra taken at RIKEN-RAL pulsed muon facility show a drasticchange at $T_{\rm N}$. At low temperatures the weakly beating oscillationcaused by the static internal magnetic fields in the antiferromagnetic phasewas observed in Cu$_{3}$Mo$_{2}$O$_{9}$ and the lightly ($0.5\%$) Zn-dopedsample. From the fitting of the oscillating term, we obtain the order parameterin these samples: ferromagnetic moment in two sublattices of antiferromagnet.In the heavily ($5.0\%$) Zn-doped sample, the muon-spin oscillation is rapidlydamped. The frequency-domain spectrum of this sample suggests a formation ofmagnetic superstructure.

Muon spin spectroscopy in multiferroic (Cu,Zn)$_{3}$Mo$_{2}$O$_{9}$