Mapping the phase diagram of (Sr$_{1-x}$ La$_x$)$_{3}$ Ir$_2$ O $_7$

Here we present an experimental study of the (Sr$_{1-x}$ La$_x$)$_{3}$ Ir$_2$ O $_7$ phase diagram, exploring the evolution of magnetic, charge, and structural degrees of freedom as the system undergoes a rapid insulator-to-metal phase transition. The parent J$_{eff}$=$\frac{1}{2}$ Mott state melts, revealing a first order-like phase boundary between a localized antiferromagnetic metallic state and a correlated metal. The evidence of a rich interplay of correlated effects upon doping the bilayer Sr$_{3}$Ir$_{2}$O$_{7}$ will be discussed and presents an argument for the persistent influence of correlation physics once the metallic regime is reached in this and related spin-orbit Mott materials.