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High-Order Coupled Cluster Calculations Via Parallel Processing: An Illustration For CaV$_4$O$_9$ | | D.J.J. Farnell
; J. Schulenburg
; J. Richter
; K.A. Gernoth
; | | Date: |
22 Nov 2005 | | Subject: | Strongly Correlated Electrons; Materials Science | | Abstract: | The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of arbitrary spatial dimensionality. Here we present a significant extension of the method by introducing a new approach that allows an efficient parallelization of computer codes that carry out ``high-order’’ CCM calculations. We find that we are able to extend such CCM calculations by an order of magnitude higher than ever before utilized in a high-order CCM calculation for an antiferromagnet. Furthermore, we use only a relatively modest number of processors, namely, eight. Such very high-order CCM calculations are possible {it only} by using such a parallelized approach. An illustration of the new approach is presented for the ground-state properties of a highly frustrated two-dimensional magnetic material, CaV$_4$O$_9$. Our best results for the ground-state energy and sublattice magnetization for the pure nearest-neighbor model are given by $E_g/N=-0.5534$ and $M=0.19$, respectively, and we predict that there is no N’eel ordering in the region $0.2 le J_2/J_1 le 0.7$. These results are shown to be in excellent agreement with the best results of other approximate methods. | | Source: | arXiv, cond-mat/0511544 | | Services: | Forum | Review | PDF | Favorites | |
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