Consistent picture of the octet-nodal gap and its evolution with doping in heavily overdoped Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$

Abstract

We investigate the pairing symmetry in heavily overdoped Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$ based on the spin-fluctuation mechanism. The exotic octet nodes of the superconducting gap and the unusual evolution of the gap with doping observed by the recent experiments are well explained in a unified manner. We demonstrate that the scatterings of electrons on the Fermi patches is mainly responsible for the incommensurate spin fluctuations and consequently the Fermi-surface-dependent multi-gap structure, since the Fermi level is close to the flat band. In addition, we find that a $d$-wave pairing state will prevail over the s-wave pairing state around the Lifshitz transition point.

7 pages, 4 figures

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