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Double-perovskite oxides that contain both 3d and 5d transition metalelements have attracted growing interest as they provide a model system tostudy the interplay of strong electron interaction and large spin-orbitcoupling (SOC). Here, we report on experimental and theoretical studies of themagnetic and electronic properties of double-perovskites(La$_{1-x}$Sr$_x$)$_2$CuIrO$_6$ ($x$ = 0.0, 0.1, 0.2, and 0.3). The undopedLa$_2$CuIrO$_6$ undergoes a magnetic phase transition from paramagnetism toantiferromagnetism at T$_N$ $\sim$ 74 K and exhibits a weak ferromagneticbehavior below $T_C$ $\sim$ 52 K. Two-dimensional magnetism that was observedin many other Cu-based double-perovskites is absent in our samples, which maybe due to the existence of weak Cu-Ir exchange interaction. First-principledensity-functional theory (DFT) calculations show canted antiferromagnetic(AFM) order in both Cu$^{2+}$ and Ir$^{4+}$ sublattices, which gives rise toweak ferromagnetism. Electronic structure calculations suggest thatLa$_2$CuIrO$_6$ is an SOC-driven Mott insulator with an energy gap of $\sim$0.3 eV. Sr-doping decreases the magnetic ordering temperatures ($T_N$ and$T_C$) and suppresses the electrical resistivity. The high temperaturesresistivity can be fitted using a variable-range-hopping model, consistent withthe existence of disorders in these double-pervoskite compounds.

Magnetic order and spin-orbit coupled Mott state in double perovskite (La$_{1-x}$Sr$_x$)$_2$CuIrO$_6$