Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices

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dc.creatorRigol, Marcos
dc.creatorBryant, Tyler
dc.creatorSingh, Rajiv R. P.
dc.date2007-06-22
dc.date.accessioned2026-07-07T08:11:51Z
dc.date.available2026-07-07T08:11:51Z
dc.descriptionWe discuss recently introduced numerical linked-cluster (NLC) algorithms that allow one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. We present studies of thermodynamic observables for spin models on square, triangular, and kagome lattices. Results for several choices of clusters and extrapolations methods, that accelerate the convergence of NLC, are presented. We also include a comparison of NLC results with those obtained from exact analytical expressions (where available), high-temperature expansions (HTE), exact diagonalization (ED) of finite periodic systems, and quantum Monte Carlo simulations.For many models and properties NLC results are substantially more accurate than HTE and ED.
dc.description14 pages, 16 figures, as published
dc.identifierhttps://arxiv.org/abs/0706.3254
dc.identifierhttp://arxiv.org/abs/0706.3254
dc.identifierPhys. Rev. E 75, 061118 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.061118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132254
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleNumerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
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