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Several angle resolved photoemission spectroscopy (ARPES) studies reveal apoorly nested Fermi surface of LiFeAs, far away from a spin density waveinstability, and clear-cut superconducting gap anisotropies. On the other handa very different, more nested Fermi surface and dissimilar gap anisotropieshave been obtained from quasiparticle interference (QPI) data, which wereinterpreted as arising from intraband scattering within hole-like bands. Herewe show that this ARPES-QPI paradox is completely resolved by interbandscattering between the hole-like bands. The resolution follows from anexcellent agreement between experimental quasiparticle scattering data andT-matrix QPI calculations (based on experimental band structure data), whichallows disentangling interband and intraband scattering processes.

Interband Quasiparticle Scattering in Superconducting LiFeAs Reconciles Photoemission and Tunneling Measurements