Evolution of quasiparticle excitations with critical mass enhancement in superconducting AFe2As2 (A = K, Rb, and Cs)

In the heavily hole-doped iron-based superconductors $A$Fe${}_2$As${}_2$ ($A=$ K, Rb, and Cs), the electron effective mass increases rapidly with alkali-ion radius. To study how the mass enhancement affects the superconducting state, we measure the London penetration depth $\lambda (T)$ in clean crystals of $A$Fe${}_2$As${}_2$ down to low temperature $T\sim 0.1$ K. In all systems, the superfluid stiffness ${\rho }_s(T)={\lambda }^2(0)\mathrm{/}{\lambda }^2(T)$ can be approximated by a power-law $T$ dependence at low temperatures, indicating the robustness of strong momentum anisotropy in the superconducting gap $\mathrm{\Delta }(k)$. The power $\alpha$ increases from $\sim 1$ with mass enhancement and approaches an unconventional exponent $\alpha \sim 1.5$ in the heaviest CsFe${}_2$As${}_2$. This appears to be a hallmark of superconductors near antiferromagnetic quantum critical points, where the quasiparticles excited across the anisotropic $\mathrm{\Delta }(k)$ are significantly influenced by the momentum dependence of quantum critical fluctuations.