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A variety of unconventional superconductors have low carrier density as acommon factor. However, the underlying mechanism of superconductivity in suchlow carrier density systems is not well understood. Besides, small carrierdensity is an unfavourable component for conventional superconductivity asdescribed by the Bardeen-Cooper-Schrieffer (BCS) theory. Therefore, studyinglow carrier density systems can lead to a better understanding in such systems.In this paper, we report superconductivity property studies in low carrierdensity systems, Y$_3$Ru$_4$Ge$_{13}$ and Lu$_3$Os$_4$Ge$_{13}$, using variousexperimental techniques. Single crystals of Y$_3$Ru$_4$Ge$_{13}$ andLu$_3$Os$_4$Ge$_{13}$ have been grown using the Czochralski crystal pullingmethod in a tetra-arc furnace. The x-ray diffraction experiment reveals thatboth compounds crystallize in cubic structure {(space group $\it{Pm3n}$, no.223)}. The transport, magnetization and heat capacity measurements show thatY$_3$Ru$_4$Ge$_{13}$ single crystal undergoes a superconducting transition at2.85~K, whereas, Lu$_3$Os$_4$Ge$_{13}$ becomes superconductor at 3.1~K.

Superconductivity in Y$_3$Ru$_4$Ge$_{13}$ and Lu$_3$Os$_4$Ge$_{13}$: A comparative study