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We report an unusual nearly ferromagnetic, heavy-mass state with asurprisingly large Wilson ratio $R_{\textrm{w}}$ (e.g., $R_{\textrm{w}}\sim$700 for $x =$ 0.2) in double layered ruthenates(Sr$_{1-x}$Ca$_{x}$)$_{3}$Ru$_{2}$O$_{7}$ with 0.08 $< x <$ 0.4. This statedoes not evolve into a long-range ferromagnetically ordered state despiteconsiderably strong ferromagnetic correlations, but freezes into acluster-spin-glass at low temperatures. In addition, evidence of non-Fermiliquid behavior is observed as the spin freezing temperature of thecluster-spin-glass approaches zero near $x \approx$ 0.1. We discuss the originof this unique magnetic state from the Fermi surface information probed by Halleffect measurements.

physical review. b, condensed matter and materials physics

Unusual heavy-mass nearly ferromagnetic state with a surprisingly large  Wilson ratio in the double layered ruthenates  (Sr$_{1-x}$Ca$_{x}$)$_{3}$Ru$_{2}$O$_{7}$