Fig. 4: Interaction-truncated Hamiltonian Ht.
From: Area law of noncritical ground states in 1D long-range interacting systems
We truncate the long-range interactions only around the boundary. In the figure above, the interactions between nonadjacent blocks (i.e., \({\{{B}_{s}\}}_{s\,=\,0}^{7}\)) are truncated. By this truncation, the properties of the Hamiltonian Ht are proved to be almost the same as the original one H, as long as \(q{l}^{-\bar{\alpha }}\,\lesssim\, 1\) (see Claim 2).
