Figure 4

(a) Diamond plaquette. (b) Network representation of the single localized state admitted by the TB Hamiltonian and (c) by the interacting Hamiltonain (with interactions that allow hoppings between all nodes of the network) for the lattice in (a) with one spin-up and one spin-down particles. Despite the differences between the two networks, the respective Hamiltonians admit the same localized state. Figure generated in Mathematica 8, https://www.wolfram.com/.