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Dielectric and magnetic properties have been studied for poly-crystallinesamples of quasi-one-dimensional frustrated spin-1/2 systemRb$_{2}$(Cu$_{1-x}$M$_{x}$)$_{2}$Mo$_{3}$O$_{12}$(M=Ni and Zn) which does notexhibit a three-dimensional magnetic transition due to quantum spin fluctuationand low dimensionality. A broad peak in the magnetic susceptibility -temperature curves originated from a short range helical ordering at lowtemperature is suppressed by the Ni and Zn substitution for Cu sites. Thecapacitance is found to anomalously increase with decreasing T below ~50 K,which is also suppressed by the impurity doping. The behavior of the anomalouscapacitance component is found to be strongly connected with that of themagnetic susceptibility for Rb$_{2}$(Cu$_{1-x}$M$_{x}$)$_{2}$Mo$_{3}$O$_{12}$which indicates that the low-temperature dielectric response is driven by themagnetism.

Dielectric Anomaly in the Quasi-One-Dimensional Frustrated Spin-1/2 System Rb$_{2}$(Cu$_{1-x}$M$_{x}$)$_{2}$Mo$_{3}$O$_{12}$ (M=Ni and Zn)