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arxiv: cond-mat/9410115 · v1 · pith:SRVTIRZBnew · submitted 1994-10-31 · ❄️ cond-mat

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

classification ❄️ cond-mat
keywords modelssystematichigh-orderover2spin-accuracyanalysisanisotropy
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We apply the microscopic coupled-cluster method (CCM) to the spin-$1\over2$ $XXZ$ 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.

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