We report the magnetic field -- temperature ($H-T$) phase diagram of Ca$_{10}$(Pt$_4$As$_8$)[(Fe$_{1-x}$Pt$_x$)$_2$As$_2$]$_5$ ($xapprox 0.05$) single crystals, which consists of normal, vortex liquid, plastic creep and elastic creep phases. The uppe
r critical field anisotropy is determined by a radio frequency technique via the measurements of magnetic penetration depth, $lambda$. Both, irreversibility line, $H_{irr}(T)$, and flux creep line, $H^{SPM}(T)$, are obtained by measuring the magnetization. We find that $H_{irr}(T)$ is well described by the Lindemann criterion with parameters similar to those for cuprates, while small $H^{SPM}(T)$ results in a wide plastic creep regime. The flux creep rates in the elastic creep regime are in qualitative agreement with the collective creep theory for random point defects. A gradual crossover from a single vortex to a bundles regime is observed. Moreover, we obtain $lambda(4~ text K) = 260(26)$ nm through the direct measurement of the London penetration depth by magnetic force microscopy.
We have measured the temperature dependence of the absolute value of the magnetic penetration depth $lambda(T)$ in a Ca$_{10}$(Pt$_{3}$As$_{8}$)[(Fe$_{1-x}$Pt$_{x}$)$_{2}$As$_{2}$]$_{5}$ (x=0.097) single crystal using a low-temperature magnetic force
microscope (MFM). We obtain $lambda_{ab}$(0)$approx$1000 nm via extrapolating the data to $T = 0$. This large $lambda$ and pronounced anisotropy in this system are responsible for large thermal fluctuations and the presence of a liquid vortex phase in this low-temperature superconductor with critical temperature of 11 K, consistent with the interpretation of the electrical transport data. The superconducting parameters obtained from $lambda$ and coherence length $xi$ place this compound in the extreme type MakeUppercase{romannumeral 2} regime. Meissner responses (via MFM) at different locations across the sample are similar to each other, indicating good homogeneity of the superconducting state on a sub-micron scale.
