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For both the $k$-leg Bethe lattice $(d =1)$ and $d=2$ rectangular lattices with a subsystem of $L^d$ sites, the entanglement entropy associated with a {\\sl single} PC is found to be generically $S \\sim L$. We argue that the $O(L)$ entropy is an expression of the subdominant $O(L)$ entropy of the bulk entropy-area law. 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A. Friedman, B. Caravan, G. C. Levine","submitted_at":"2014-02-21T22:18:23Z","abstract_excerpt":"The scaling of entanglement entropy is computationally studied in several $1\\le d \\le 2$ dimensional free fermion systems that are connected by one or more point contacts (PC). For both the $k$-leg Bethe lattice $(d =1)$ and $d=2$ rectangular lattices with a subsystem of $L^d$ sites, the entanglement entropy associated with a {\\sl single} PC is found to be generically $S \\sim L$. We argue that the $O(L)$ entropy is an expression of the subdominant $O(L)$ entropy of the bulk entropy-area law. 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