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We report the structural, magnetic and thermodynamic properties of the doubleperovskite compound La2CuIrO6 from X-ray, neutron diffraction, neutrondepolarization, dc magnetization, ac susceptibility, specific heat,muon-spin-relaxation (uSR), electron-spin-resonance (ESR) and nuclear magneticresonance (NMR) measurements. Below ~113 K, short-range spin-spin correlationsoccur within the Cu2+ sublattice. With decreasing temperature, the Ir4+sublattice progressively involves in the correlation process. Below T = 74 K,the magnetic sublattices of Cu (spin s = 1/2) and Ir (pseudospin j = 1/2) inLa2CuIrO6 are strongly coupled and exhibit an antiferromagnetic phasetransition into a non-collinear magnetic structure accompanied by a smalluncompensated transverse moment. A weak anomaly in ac-susceptibility as well asin the NMR and {\mu}SR spin lattice relaxation rates at 54 K is interpreted asa cooperative ordering of the transverse moments which is influenced by thestrong spin-orbit coupled 5d ion Ir4+. We argue that the rich magneticbehaviour observed in La2CuIrO6 is related to complex magnetic interactionsbetween the strongly correlated spin-only 3d ions with the strongly spin-orbitcoupled 5d transition ions where a combination of the spin-orbit coupling andthe low-symmetry of the crystal lattice plays a special role for the spinstructure in the magnetically ordered state.

Non-collinear antiferromagnetism of coupled spins and pseudospins in the double perovskite La2CuIrO6