Figure 8 | Scientific Reports

Figure 8

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

Figure 8

(a) Cropped version of the Lieb lattice with three plaquettes. The site in the middle of the rung between the first two plaquettes was dropped. (b) Network representation of the single localized state of the Hamiltonian for the lattice in (a) with two holes and one flipped spin (in a ferromagnetic background). In (c) we show a cropped version of the network in (b) in which the blue nodes that are not connected to red nodes are dropped. This network is very alike to the network in (b), and this indicates that the localized state found, despite being compact, uses a considerable part of the network. Figure generated in Mathematica 8, https://www.wolfram.com/.

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