(a) Density of states of isotropic ruby lattice for different interaction at T = 0.2. (b) Density of states of isotropic ruby lattice for different temperature at U = 8. (c) Density of states of anisotropic ruby lattice (λ = 2.0) for different interaction at T = 0.2. (d) Density of states of isotropic ruby lattice (λ = 1.0) at lower temperature (T =0.1) for different interactions.