Figure 7 | Scientific Reports

Figure 7

From: Methods for the construction of interacting many-body Hamiltonians with compact localized states in geometrically frustrated clusters

Figure 7

Bottom: growth of the network (fully represented at the top right) for the TB Hamiltonian of a Lieb lattice with two plaquettes (top left) with one-hole and one flipped spin in a ferromagnetic background. These diagrams were obtained from a numerical method used to determine CL states. The method works in the following way: starting from an arbitrary node, the network is grown (diagrams 1–4) until a bubble-like structure is revealed (diagram 5), which indicates de presence of a CL states. This cycle is repeated, restarting from another arbitrary node (not present in the cluster grown so far) until all CL states are determined. Figure generated in Mathematica 8, https://www.wolfram.com/.

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