Coupled Cluster Treatment of the XY model

Details Coupled Cluster Treatment of the XY model Coupled Cluster Treatment of the XY model

1997-06-30

arxiv.org/abs/cond-mat/9706299v1

Physics

Condensed Matter

11 pages, Latex, 4 postscript figure, accepted by J.Phys.: Condens. Matter

Scientific paper

10.1088/0953-8984/9/36/008

We study quantum spin systems in the 1D, 2D square and 3D cubic lattices with nearest-neighbour XY exchange. We use the coupled-cluster method (CCM) to calculate the ground-state energy, the T=0 sublattice magnetisation and the excited state energies, all as functions of the anisotropy parameter $\gamma$. We consider $S=1/2$ in detail and give some results for higher $S$. In 1D these results are compared with the exact $S=1/2$ results and in 2D with Monte-Carlo and series expansions. We obtain critical points close to the expected value $\gamma=0$ and our extrapolated LSUBn results for the ground-state energy are well converged for all $\gamma$ except very close to the critical point.

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