Numerical linked-cluster algorithms. I. Spin systems on square, triangular, and kagomé lattices.
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 kagomé lattices. Results for several choices of clusters and extrapolations methods, that accelerate the convergence of NLCs, 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.
Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089, USA.
Marcos
M
Rigol
Tyler
T
Bryant
Rajiv R P
RR
Singh