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Ferromagnetic quantum phase transition in Sr$_{1-x}$Ca$_x$RuO$_3$ thin films

The ferromagnetic quantum phase transition in the perovskite ruthenate Sr$_{1-x}$Ca$_x$RuO$_3$ is studied by low-temperature magnetization and electrical resistivity measurements on thin films. The films were grown epitaxially on SrTiO$_3$ substrates using metalorganic aerosol deposition and characterized by X-ray diffraction and room temperature scanning tunneling microscopy. High residual resistivity ratios of 29 and 16 for $x=0$ and $x=1$, respectively, prove the high quality of the investigated samples. We observe a continuous suppression of the ferromagnetic Curie temperature from $T_C=160$ K at $x=0$ towards $T_C\to 0$ at $x_c\approx 0.8$. The analysis of the electrical resistivity between 2 and 10 K reveals $T^2$ and $T^{3/2}$ behavior at $x\leq 0.6$ and $x\geq 0.7$, respectively. For undoped CaRuO$_3$, the measurement has been extended down to 60 mK, revealing a crossover to $T^2$ behavior around 2 K, which suggests a Fermi-liquid ground state in this system.