Unidirectional spin density wave state in metallic (Sr_1-xLa _x )₂IrO₄

Materials that exhibit both strong spin-orbit coupling and electron correlation effects are predicted to host numerous new electronic states. One prominent example is the J_eff = 1/2 Mott state in Sr₂IrO₄, where introducing carriers is predicted to manifest high temperature superconductivity analogous to the S = 1/2 Mott state of La₂CuO₄. While bulk superconductivity currently remains elusive, anomalous quasiparticle behaviors paralleling those in the cuprates such as pseudogap formation and the formation of a d-wave gap are observed upon electron-doping Sr₂IrO₄. Here we establish a magnetic parallel between electron-doped Sr₂IrO₄ and hole-doped La₂CuO₄ by unveiling a spin density wave state in electron-doped Sr₂IrO₄. Our magnetic resonant X-ray scattering data reveal the presence of an incommensurate magnetic state reminiscent of the diagonal spin density wave state observed in the monolayer cuprate (La_1-xSr _x )₂CuO₄. This link supports the conjecture that the quenched Mott phases in electron-doped Sr₂IrO₄ and hole-doped La₂CuO₄ support common competing electronic phases.