Doping-dependent superconducting physical quantities of K-doped BaFe $$_2$$ 2 As $$_2$$ 2 obtained through infrared spectroscopy

Abstract

Abstract We investigated four single crystals of K-doped BaFe $$_2$$ 2 As $$_2$$ 2 (Ba-122), Ba $$_{1-x}$$ 1 - x K $$_x$$ x Fe $$_2$$ 2 As $$_2$$ 2 with $$x =$$ x = 0.29, 0.36, 0.40, and 0.51, using infrared spectroscopy. We explored a wide variety of doping levels, from under- to overdoped. We obtained the superfluid plasma frequencies ( $$\Omega _{\textrm{sp}}$$ Ω sp ) and corresponding London penetration depths ( $$\uplambda _{\textrm{L}}$$ λ L ) from the measured optical conductivity spectra. We also extracted the electron-boson spectral density (EBSD) functions using a two-parallel charge transport channel approach in the superconducting (SC) state. From the extracted EBSD functions, the maximum SC transition temperatures ( $$T_c^{\textrm{Max}}$$ T c Max ) were determined using a generalized McMillan formula and the SC coherence lengths ( $$\xi _{\textrm{SC}}$$ ξ SC ) were calculated using the timescales encoded in the EBSD functions and reported Fermi velocities. We identified some similarities and differences in the doping-dependent SC quantities between the K-doped Ba-122 and the hole-doped cuprates. We expect that the various SC quantities obtained across the wide doping range will provide helpful information for establishing the microscopic pairing mechanism in Fe-pnictide superconductors.