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Scanning tunneling microscopy/spectroscopy (STM/STS) measurements werecarried out on a multi-layered cuprate superconductorBa$_2$Ca$_5$Cu$_6$O$_{12}$(O$_{1-x}$,F$_x$)$_2$. STM topography revealed randomspot structures with the characteristic length $\le 0.5$ nm. The conductancespectra dI/dV(V) show the coexistence of smaller gaps $\Delta_S$ and large gaps(pseudogaps) $\Delta_L$. The pseudogap-related features in the superconductingstate were traced with the spatial resolution of $\sim$ 0.07 nm. Here, $I$ and$V$ are the tunnel current and bias voltage, respectively. The temperature,$T$, dependence of $\Delta_S$ follows the reduced Bardeen-Cooper-Schrieffer(BCS) dependence. The hallmark ratio 2$\Delta_{S}(T=0)/k_B T_c$ equals to 4.9,which is smaller than those of other cuprate superconductors. Here, $T_c$ isthe superconducting critical temperature and $k_B$ is the Boltzmann constant.The larger gap $\Delta_L$ survives in the normal state and even increases with$T$ above $T_c$. The $T$ dependences of the spatial distributions for bothrelevant gaps ($\Delta$ map), as well as for each gap separately ($\Delta_S$and $\Delta_L$) were obtained. From the histogram of $\Delta$ map, the averagedgap values were found to be $\bar \Delta_S = \sim 24$ meV and $\bar \Delta_L =\sim 79$ meV. The smaller gap $\Delta_S$ shows a spatially homogeneousdistribution while the larger gap $\Delta_L$ is quite inhomogeneous, indicatingthat rather homogeneous superconductivity coexists with the patchy distributedpseudogap. The spatial variation length $\xi_{\Delta_L}$ of $\Delta_L$correlates with the scale of the topography spot structures, beingapproximately 0.4 nm. This value is considerably smaller than the coherencelength of this class of superconductors, suggesting that $\Delta_L$ is stronglyaffected by the disorder of the apical O/F.

physical review. b./physical review. b

Multilayered cuprate superconductor  Ba$_2$Ca$_5$Cu$_6$O$_{12}$(O$_{1-x}$,F$_x$)$_2$ studied by  temperature-dependent scanning tunneling microscopy and spectroscopy