Atomic-resolution Spectroscopic Imaging Scanning Tunneling Microscopy of Triple Layer Cuprate: Bi$_{2}$Sr$_{2}$Ca$_{2}$Cu$_{3}$O$_{10+\delta }$

We present preliminary high spatial resolution scanning tunneling spectroscopy (STS) study of triple layer cuprate Bi$_{2}$Sr$_{2}$Ca$_{2}$Cu$_{3}$O$_{10+ \delta }$. The sample is near optimally doped, with T$_{c}$ = 110 K. The local density of states (LDOS) map shows (1) strongly heterogeneous gap distributions, (2) significantly increased average superconducting gap, (3) equivalent energy-dispersive quasiparticle interference patterns and (4) stronger and sharper coherence peaks compared to double layer cuprate Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+ \delta }$ of similar doping. We also have preliminary observations of the disordered bosonic mode energy distribution qualitatively similar to those of Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+ \delta }$.