Highly anisotropic superconducting gap in underdoped   Ba$_{1-x}$K$_x$Fe$_2$As$_2$
  The in-plane London penetration depth, $\Delta\lambda(T)$, was measured using a tunnel diode resonator in single crystals of Ba$_{1-x}$K$_x$Fe$_2$As$_2$ for five doping levels $x$ ranging from underdoped, $T_c$=11 K ($x$=0.17), to optimally doped, $T_c=$38 K ($x_\textmd{\scriptsize opt}$= 0.35). In the optimally doped samples, $\Delta\lambda(T)$ shows exponential saturation in $T \to 0$ limit suggesting a fully gapped superconductivity. The lowest-$T_c$ samples show much stronger non-exponential variation of $\Delta\lambda(T)$. Fitting the data to a power-law, $\Delta\lambda(T)= AT^n$, reveals a monotonic decrease of the exponent $n$ with $x$ towards the underdoped edge of the superconducting dome. Comparison with $n \approx 1.2$ reported in KFe$_2$As$_2$ ($T_c$=3.5 K, $x=$ 1), suggests a dome-like variation of $n$ with $x$, implying an evolution of the topology of the superconducting gap from full and isotropic in the center of the dome towards strongly anisotropic and, eventually, nodal at the dome edges. 
H. Kim, M. A. Tanatar, Bing Shen, Hai-Hu Wen, R. Prozorov
cond-mat.supr-con