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We study $S=1/2$ dimer excitation in a coupled chain and dimer compoundCu$_2$Fe$_2$Ge$_4$O$_{13} by inelastic neutron scattering technique. The Zeemansplit of the dimer triplet by a staggered field is observed at low temperature.With the increase of temperature the effect of random field is detected by adrastic broadening of the triplet excitation. Basic dynamics of dimer in thestaggered and random fields are experimentally identified inCu$_2$Fe$_2$Ge$_4$O$_{13}.

Spin dimers under staggered and random field in Cu$_2$Fe$_2$Ge$_4$O$_{13}