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We investigated Ru-doped single-crystal 5$d$ iridiates,Sr$_2$Ir$_{1-x}$Ru$_x$O$_{4}$, at three different doping concentrations ($x =$0.01, 0.07 and 0.10) using optical spectroscopy. The undoped pristine compound(Sr$_2$IrO$_{4}$) is known as a novel $J_{eff}$ = 1/2 Mott insulator.Remarkably, the optical conductivity spectra of all three samples exhibited theinsulating behavior, although we observed weak Drude components in the opticalconductivity spectra down to the lowest temperature of 30 K. The charge-carrierdensities of the Ru-doped iridiates estimated from the Drude components aresignificantly smaller than the expected values estimated from the nominalRu-doping concentrations. Herein, we provide temperature- and doping-dependentelectronic structure evolution of Ru-doped iridiates. We expect that ourresults will be useful for understanding the intriguing Ru-doping-dependentproperties of 5$d$ iridiate Sr$_2$IrO$_{4}$.

Evolution of electronic structure of Ru-doped single-crystal iridiates, Sr$_2$Ir$_{1-x}$Ru$_x$O$_4$