Systematic Inclusion of High-Order Multi-Spin Correlations for the Spin-$\frac{1}{2}$ $XXZ$ Models

Abstract

We apply the microscopic coupled-cluster method (CCM) to the spin-$\frac{1}{2}$ $XXZ$ 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.

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

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