A microscopic study of the quantum critical behavior of the spin-1/2 anisotropic Heisenberg models

✍ Scribed by R. F. Bishop; R. G. Hale; Y. Xian

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 719 KB
• Volume: 57
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/(sici)1097-461x(1996)57:5<919::aid-qua12>3.0.co;2-s

✦ Synopsis

We extend our own previous applications of the microscopic coupled-cluster method (CCM) to quantum antiferromagnets. In particular, we carry out a systematic calculation involving high-order multispin correlations for the spin-f anisotropic Heisenberg models on the one-dimensional chain and the two-dimensional square lattice. Their ground-state properties are obtained as functions of the anisotropy parameter. Our CCM analysis not only produces accurate results for such physical quantities as the ground-state energy which are comparable to the best results from other techniques, but it also enables us to study the quantum phase transitions of the spin models in a systematic and unbiased manner.