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A study of the dense Uniform Electron Gas with high orders of Coupled Cluster

Chemical Physics 2018-03-28 v3 Strongly Correlated Electrons

Abstract

We investigate the accuracies of different coupled cluster levels in a finite model solid, the 14 electron spin-non-polarised uniform electron gas. For densities between rs\mathrm{r}_\mathrm{s} = 0.5 a0\mathrm{a}_\mathrm{0} and rs\mathrm{r}_\mathrm{s} = 5 a0\mathrm{a}_\mathrm{0}, we calculate ground state correlation energies with stochastic coupled cluster ranging from coupled cluster singles and doubles (CCSD) to coupled cluster including all excitations up to quintuples (CCSDTQ5). We find the need to add triple excitations for an accuracy of 0.01eV/electron beyond rs\mathrm{r}_\mathrm{s} = 0.5 a0\mathrm{a}_\mathrm{0}. Quadruple excitations start being significant past rs\mathrm{r}_\mathrm{s} = 3 a0\mathrm{a}_\mathrm{0} . At rs\mathrm{r}_\mathrm{s} = 5 a0\mathrm{a}_\mathrm{0}, CCSD gives a correlation energy with a 16% error and CCSDT is in error by 2% compared to the CCSDTQ5 result. CCSDTQ5 gives an energy in agreement with full configuration interaction quantum Monte Carlo results.

Keywords

Cite

@article{arxiv.1706.09923,
  title  = {A study of the dense Uniform Electron Gas with high orders of Coupled Cluster},
  author = {Verena A. Neufeld and Alex J. W. Thom},
  journal= {arXiv preprint arXiv:1706.09923},
  year   = {2018}
}

Comments

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in "Neufeld, V.A. and Thom, A.J.W., J. Chem. Phys. 147, 194105 (2017)" and may be found at https://aip.scitation.org/doi/abs/10.1063/1.5003794. The data and further information can be accessed at https://doi.org/10.17863/CAM.14336