Systematic enhancement in magnetic susceptibilities and a study of Fermi Liquid behaviour of ReT$_{2}$Al$_{10}$ where Re=Y and La, and T =Fe, Ru, and Os*

DC and AC magnetic susceptibilities, specific heat and resistivity are measured for YbFe$_{2}$Al$_{10}$-structure compounds, ReT$_{2}$Al$_{10}$ where Re =Y, and La, and T = Fe, Ru, and Os. The YT$_{2}$Al$_{10}$ show systematically enhancing paramagnetic behavior in magnetic properties from Os to Ru and to Fe, and Fermi-liquid behaviour below around 100 K. With the linear term of the specific heat ($\gamma _{0})$ and the temperature independent susceptibility ($\chi _{0})$ at low temperature, the Stoner enhancement parameter, Z, is utilized to find how close the compounds are to the ferromagnetic ordering, where Z = 1-(3$\mu _{B}^{2}$/$\pi ^{2}$k$_{B}^{2})(\gamma _{0}$/ $\chi _{0})$ . Specifically, YFe$_{2}$Al$_{10}$ shows a larger Z (0.98) than that (0.83) of Pd, a well known example of nearly ferromagnetic materials. The implied proximity to the quantum criticality is tested by a power law analysis , where 1/($\chi -\chi _{0})$=AT$^{\lambda }$ can describe well a wide range (2K to 100K) of AC magnetic susceptibility for YFe$_{2}$Al$_{10}$ with $\lambda $ = 1.19, which is between the mean-field value ($\lambda $ = 1) and that of the three-dimensional Ferromagnetic Heisenberg model ($\lambda $ = 1.33).