Spectroscopic imaging STM study of Bi$_{2}$Sr$_{2-x}$Ln$_{x}$CuO$_{6+\delta }$

We will present the spectroscopic imaging STM data of near optimally doped, Ln-substituted Bi2201. The Ln (Lanthanide) atoms substituting the Sr atoms are known to cause out-of-CuO$_{2}$-plane lattice disorder and large variation of Tc (Tc(La)$\sim $34K, Tc(Gd)$\sim $13K). We will demonstrate how the coherence peaks, the gap maps, the quasi-particle interference, and the checkerboard electronic structures are affected by lattice disorder and varied Tc in these materials. We will also show, for Gd-Bi2201, how the above atomic scale spectroscopic features change at temperatures below and above Tc.