Large magnetic penetration depth and thermal fluctuations in a Ca$_{10}$(Pt$_{3}$As$_{8}$)[(Fe$_{1-x}$Pt$_{x}$)$_{2}$As$_{2}$]$_{5}$ (x=0.097) single crystal

TL;DR

This study measures the magnetic penetration depth in a Ca-based superconductor, revealing large penetration depth and anisotropy that lead to significant thermal fluctuations and a vortex liquid phase at low temperatures.

Contribution

First direct measurement of the magnetic penetration depth in this compound, showing large λ and anisotropy, and linking these to thermal fluctuations and vortex behavior.

Findings

λ_ab(0) ≈ 1000 nm indicating large penetration depth

Presence of a vortex liquid phase due to thermal fluctuations

Superconducting state is homogeneous on sub-micron scale

Abstract

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.