Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
| Autor: | Marcos Rigol, Tyler Bryant, Rajiv R. P. Singh |
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| Rok vydání: | 2007 |
| Předmět: |
Physics
Analytical expressions Statistical Mechanics (cond-mat.stat-mech) Strongly Correlated Electrons (cond-mat.str-el) Quantum Monte Carlo FOS: Physical sciences Observable 01 natural sciences 010305 fluids & plasmas Condensed Matter - Strongly Correlated Electrons Lattice (order) 0103 physical sciences Thermodynamic limit Cluster (physics) Physics::Accelerator Physics Statistical physics 010306 general physics Quantum Algorithm Condensed Matter - Statistical Mechanics |
| DOI: | 10.48550/arxiv.0706.3254 |
| Popis: | 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. Comment: 14 pages, 16 figures, as published |
| Databáze: | OpenAIRE |
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