Phase diagrams of the isotropic ruby lattice. (a) and (b) The sketch map of paramagnetic order and antiferromagnetic order in ruby lattice, respectively. (c) Competition between temperature and interaction for Mott transition in isotropic ruby lattice. (d) Relation between interaction and single particle gap Δ E , transition between antiferromagnetic metal and antiferromagnetic insulator in ruby lattice at T = 0.1.