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Specific Heat Investigation for Line Nodes in Heavily Overdoped Ba1-xKxFe2As2

The pairing symmetry in the iron-based superconductor Ba1-xKxFe2As2 may change from nodeless s-wave near x~0.4 and Tc>30 K, to nodal (either d-wave or s-wave) at x=1 and Tc<4 K. Theoretical interest has been focused on this possibility, where in the transition region both order parameters would be present and time reversal symmetry would be broken. We report specific heat in magnetic fields down to 0.4 K of three single crystals, free of low temperature magnetic anomalies, of heavily overdoped Ba1-xKxFe2As2, x= 0.91, 0.88, and 0.81, Tc(mid) ~ 5.6, 7.2 and 13 K and Hc2 ~ 4.5, 6, and 20 T respectively. The data can be analyzed in a two gap scenario, Delta2/Delta1 ~ 4, with the field dependence of gamma (=C/T as T->0) showing an S-shape vs H, with the suppression of the lower gap by 1 T and gamma ~ H**1/2 overall. Although such a non-linear gamma vs H is consistent with deep minima or nodes in the gap, it is not clear evidence for one, or both, of the gaps being nodal. Following the established analysis of the specific heat of d-wave cuprate superconductors containing line nodes, we present the specific heat/H**1/2 vs T/H**1/2 of these Ba1-xKxFe2As2 samples which all, due to the absence of magnetic impurities, convincingly show the scaling for line node behavior for the larger gap. There is however no clear observation of the nodal behavior C ~ alpha*T**2 in zero field at low temperatures, with alpha ~ 2 mJ/molK**3 being consistent with the data. This, with the scaling, leaves the possibility of extreme anisotropy in a nodeless larger gap, Delta2, such that the scaling works for fields above 0.25 to 0.5 T (0.2 to 0.4 K in temperature units), where this an estimate for the size of the deep minima in the Delta2 ~ 20-25 K gap. Thus, the change from nodeless to nodal gaps in Ba1-xKxFe2As2 may be closer to the KFe2As2 endpoint than x=0.91.