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

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

2007-06-22

arxiv.org/abs/0706.3254v1

Phys. Rev. E 75, 061118 (2007)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 16 figures, as published

Scientific paper

10.1103/PhysRevE.75.061118

We 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.

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