  (Sr1-xCax)3Ru2O7 is characterized by complex magnetic states, spanning from a
long-range antiferromagnetically ordered state over an unusual heavy-mass
nearly ferromagnetic (NFM) state to an itinerant metamagnetic (IMM) state. The
NFM state, which occurs in the 0.4 > x > 0.08 composition range, freezes into a
cluster-spin-glass (CSG) phase at low temperatures [Z. Qu et al., Phys. Rev. B
78, 180407(R) (2008)]. In this article, we present the scaling analyses of
magnetization and the specific heat for (Sr1-xCax)3Ru2O7 in the 0.4 > x > 0.08
composition range. We find that in a temperature region immediately above the
spin freezing temperature T$_f$, the isothermal magnetization M(H) and the
temperature dependence of electronic specific heat C_e(T) exhibit anomalous
power-law singularities; both quantities are controlled by a single exponent.
The temperature dependence of magnetization M(T) also displays a power-law
behavior, but its exponent differs remarkably from that derived from M(H) and
C_e(T). Our analyses further reveal that the magnetization data M(H,T) obey a
phenomenological scaling law of M(H,T) \propto H^\alpha f(H/T^\delta) in a
temperature region between the spin freezing temperature T_f and the scaling
temperature T_scaling. T_scaling systematically decreases with the decease of
Ca content. This scaling law breaks down near the critical concentration x =
0.1 where a CSG-to-IMM phase transition occurs. We discussed these behaviors in
term of the effect of disorder on the quantum phase transition.
