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An Efficient Implementation of High-Order Coupled-Cluster Techniques Applied to Quantum Magnets

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Abstract

We illustrate how the systematic inclusion of multi-spin correlations of the quantum spin–lattice systems can be efficiently implemented within the framework of the coupled-cluster method by examining the ground-state properties of both the square-lattice and the frustrated triangular-lattice quantum antiferromagnets. The ground-state energy and the sublattice magnetization are calculated for the square-lattice and triangular-lattice Heisenberg antiferromagnets, and our best estimates give values for the sublattice magnetization which are 62% and 51% of the classical results for the square and triangular lattices, respectively. We furthermore make a conjecture as to why previous series expansion calculations have not indicated Néel-like long-range order for the triangular-lattice Heisenberg antiferromagnet. We investigate the critical behavior of the anisotropic systems by obtaining approximate values for the positions of phase transition points.

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Authors and Affiliations

  1. Department of Physics, University of Manchester Institute of Science and Technology (UMIST), P.O. Box 88, Manchester, M60 1QD, United Kingdom

    Chen Zeng, D. J. J. Farnell & R. F. Bishop

  2. Department of Physics, Syracuse University, Syracuse, New York, 13210

    Chen Zeng

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  1. Chen Zeng
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  2. D. J. J. Farnell
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  3. R. F. Bishop
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Zeng, C., Farnell, D.J.J. & Bishop, R.F. An Efficient Implementation of High-Order Coupled-Cluster Techniques Applied to Quantum Magnets. Journal of Statistical Physics 90, 327–361 (1998). https://doi.org/10.1023/A:1023220222019

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