Momentum-resolved superconducting gap in the bulk of Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$ from combined ARPES and $\mu$SR measurements

Abstract

Here we present a calculation of the temperature-dependent London penetration depth, $\lambda (T)$, in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$ (BKFA) on the basis of the electronic band structure [1,2] and momentum-dependent superconducting gap [3] extracted from angle-resolved photoemission spectroscopy (ARPES) data. The results are compared to the direct measurements of $\lambda (T)$ by muon spin rotation ($\mu$SR) [4]. The value of $\lambda (T=0)$, calculated with \emph{no} adjustable parameters, equals 270 nm, while the directly measured one is 320 nm; the temperature dependence $\lambda (T)$ is also easily reproduced. Such agreement between the two completely different approaches allows us to conclude that ARPES studies of BKFA are bulk-representative. Our review of the available experimental studies of the superconducting gap in the new iron-based superconductors in general allows us to state that all hole-doped of them bear two nearly isotropic gaps with coupling constants $2\Delta /k_{\mathrm{B}}{T}_{\mathrm{c}}=2.5\pm 1.5$ and $7\pm 2$.

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