English

Systematic Inclusion of High-Order Multi-Spin Correlations for the Spin-$1\over2$ $XXZ$ Models

Condensed Matter 2017-08-24 v1

Abstract

We apply the microscopic coupled-cluster method (CCM) to the spin-121\over2 XXZXXZ models on both the one-dimensional chain and the two-dimensional square lattice. Based on a systematic approximation scheme of the CCM developed by us previously, we carry out high-order {\it ab initio} calculations using computer-algebraic techniques. The ground-state properties of the models are obtained with high accuracy as functions of the anisotropy parameter. Furthermore, our CCM analysis enables us to study their quantum critical behavior in a systematic and unbiased manner.

Keywords

Cite

@article{arxiv.cond-mat/9410115,
  title  = {Systematic Inclusion of High-Order Multi-Spin Correlations for the Spin-$1\over2$ $XXZ$ Models},
  author = {R. F. Bishop and R. G. Hale and Y. Xian},
  journal= {arXiv preprint arXiv:cond-mat/9410115},
  year   = {2017}
}

Comments

(to appear in PRL). 4 pages, ReVTeX, two figures available upon request. UMIST Preprint MA-000-0001