Single-gap Isotropic $s-$wave Superconductivity in Single Crystals ${\text{AuSn}}_4$

Abstract

London, ${\lambda }_L(T)$, and Campbell, ${\lambda }_C(T)$, penetration depths were measured in single crystals of a topological superconductor candidate ${\text{AuSn}}_4$. At low temperatures, ${\lambda }_L(T)$ is exponentially attenuated and, if fitted with the power law, $\lambda (T)\sim T^n$, gives exponents $n>4$, indistinguishable from the isotropic single $s-$wave gap Bardeen-Cooper-Schrieffer (BCS) asymptotic. The superfluid density fits perfectly in the entire temperature range to the BCS theory. The superconducting transition temperature, $T_c=2.40\pm 0.05\text{K}$, does not change after 2.5 MeV electron irradiation, indicating the validity of the Anderson theorem for isotropic $s-$wave superconductors. Campbell penetration depth before and after electron irradiation shows no hysteresis between the zero-field cooling (ZFC) and field cooling (FC) protocols, consistent with the parabolic pinning potential. Interestingly, the critical current density estimated from the original Campbell theory decreases after irradiation, implying that a more sophisticated theory involving collective effects is needed to describe vortex pinning in this system. In general, our thermodynamic measurements strongly suggest that the bulk response of the ${\text{AuSn}}_4$ crystals is fully consistent with the isotropic $s-$wave weak-coupling BCS superconductivity.

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