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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 squarelattice. Based on a systematic approximation scheme of the CCM developed by uspreviously, we carry out high-order {\it ab initio} calculations usingcomputer-algebraic techniques. The ground-state properties of the models areobtained with high accuracy as functions of the anisotropy parameter.Furthermore, our CCM analysis enables us to study their quantum criticalbehavior in a systematic and unbiased manner.

physical review letters

Systematic Inclusion of High-Order Multispin Correlations for the Spin-½<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XXZ</mml:mi></mml:math>Models

Systematic Inclusion of High-Order Multispin Correlations for the Spin-½XXZModels