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Condensed Matter > Statistical Mechanics
Title: L-based numerical linked cluster expansion for square lattice models
(Submitted on 4 Mar 2023 (v1), last revised 29 Sep 2023 (this version, v3))
Abstract: We introduce a numerical linked cluster expansion for square-lattice models whose building block is an L-shape cluster. For the spin-1/2 models studied in this work, we find that this expansion exhibits a similar or better convergence of the bare sums than that of the (larger) square-shaped clusters, and can be used with resummation techniques (like the site- and bond-based expansions) to obtain results at even lower temperatures. We compare the performance of weak- and strong-embedding versions of this expansion in various spin-1/2 models, and show that the strong-embedding version is preferable because of its convergence properties and lower computational cost. Finally, we show that the expansion based on the L-shape cluster can be naturally used to study properties of lattice models that smoothly connect the square and triangular lattice geometries.
Submission history
From: Mahmoud Abdelshafy [view email][v1] Sat, 4 Mar 2023 17:27:42 GMT (222kb,D)
[v2] Mon, 13 Mar 2023 21:13:30 GMT (275kb,D)
[v3] Fri, 29 Sep 2023 21:00:23 GMT (266kb,D)
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