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Neutron single crystal diffraction and rotational anisotropy optical secondharmonic generation data are presented resolving the nature of the structuraldistortion realized in electron-doped (Sr$_{1-x}$La$_x$)$_3$Ir$_2$O$_7$ with$x=0.035$ and $x=0.071$. Once electrons are introduced into the bilayerspin-orbit assisted Mott insulator Sr$_3$Ir$_2$O$_7$, previous studies haveidentified the appearance of a low temperature structural distortion and havesuggested the presence of a competing electronic instability in the phasediagram of this material. Our measurements resolve a lowering of the structuralsymmetry from monoclinic $C2/c$ to monoclinic $P2_1/c$ and the creation of twounique Ir sites within the chemical unit cell as the lattice distorts below acritical temperature $T_S$. Details regarding the modifications to oxygenoctahedral rotations and tilting through the transition are discussed as wellas the evolution of the low temperature distorted lattice as a function ofcarrier substitution.

Doping driven structural distortion in the bilayer iridate (Sr$_{1-x}$La$_x$)$_3$Ir$_2$O$_7$