Affordable Access

deepdyve-link deepdyve-link
Publisher Website

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

Authors
  • Rigol, Marcos
  • Bryant, Tyler
  • Singh, Rajiv R. P.
Type
Published Article
Publication Date
Jun 21, 2007
Submission Date
Jun 21, 2007
Identifiers
DOI: 10.1103/PhysRevE.75.061118
Source
arXiv
License
Unknown
External links

Abstract

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.

Report this publication

Statistics

Seen <100 times