“…1 (a) where various As heights reported in different experiments are shown, at h As less than h c , our theoretical calculations point to a CAFM ground state, which is mainly consistent with the experimental results where either long-range [23] or short-range [25] AF order was observed, though the magnetic structure has not been determined ex-perimentally yet. But, in the cases of h As greater than h c , while the theoretical ground state is strongly FM, it was inferred from experiments [22,24,26] that CuFeAs should be an antiferromagnet probably with ferromagnetic components. The contradiction raises a great challenge to the existing theory [34,42], which seems valid for the whole family of ironbased superconductors including both iron pnictides and iron chalcogenides, where various magnetic ground states can be correctly accounted for after different anion height is considered.…”