Effective Hamiltonian for cuprate superconductors derived from multiscale ab initio scheme with level renormalization

@article{Hirayama2019EffectiveHF,
  title={Effective Hamiltonian for cuprate superconductors derived from multiscale 
ab initio
 scheme with level renormalization},
  author={Motoaki Hirayama and Takahiro Misawa and Takahiro Ohgoe and Youhei Yamaji and Masatoshi Imada},
  journal={Physical Review B},
  year={2019}
}
Three types (three-band, two-band, and one-band) of effective Hamiltonians for ${\mathrm{HgBa}}_{2}{\mathrm{CuO}}_{4}$ and three-band effective Hamiltonian for ${\mathrm{La}}_{2}{\mathrm{CuO}}_{4}$ are derived by improving the constrained-$GW$ approximation combined with the self-interaction correction ($\mathrm{c}GW\ensuremath{-}\text{SIC}$) formulated by Hirayama et al. [Phys. Rev. B 98, 134501 (2018)]. The improved treatment of the interband Hartree energy in the present paper turns out to… 

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TLDR
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