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In the iron based superconductors, one of the on-going frontier studies isabout the pairing mechanism. The recent interest concerns the high temperaturesuperconductivity and its intimate reason in the monolayer FeSe thin films. Thechallenge here is how the double superconducting gaps seen by the scanningtunnelling spectroscopy (STS) associate however to only one set of Fermipockets seen by the angle resolved photoemission spectroscopy (ARPES). Therecently discovered (Li1-xFexOH)FeSe phase with Tc=40 K provides a goodplatform to check the fundamental problems. Here we report the STS study on the(Li1-xFexOH)FeSe single crystals. The STS spectrum clearly indicates thepresence of double anisotropic gaps with maximum magnitudes of Delta_1=14.3 meVand Delta_2=8.6 meV, and mimics that of the monolayer FeSe thin film. Furtheranalysis based on the quasiparticle interference (QPI) allows us to rule outthe d-wave gap, and for the first time assign the larger (smaller) gap to theouter (inner) hybridized Fermi pockets associating with the dxy (dxz/dyz)orbitals, respectively. The huge value Delta_1/k_BT_c = 8.7 discovered hereundoubtedly proves the strong coupling mechanism in the present superconductingsystem.

Scrutinizing the double superconducting gaps and strong coupling pairing in (Li1-xFexOH)FeSe