Using a molecular orbital (MO) construction scheme of the flat band which we are proposing, we found novel random critical states in a series of flat band systems away from the flat band energy. The MOs in the present model are constructed by U(1) random variables. This is the key idea. The criticality is inherited from the parent states, which are well-established random zero modes of chiral symmetric systems. The paper, “Molecular-orbital representation with random U(1) variables” by Tomonari Mizoguchi and Yasuhiro Hatsugai is published in Physical Review B, on March 1, 2023 (accepted on 14 February 2023). Also, you may access arXiv:2208.10764.