Effective Hamiltonian for cuprate superconductors derived from multi-scale ab initio scheme with level renormalization

Masatoshi Imada; Motoaki Hirayama; Takahiro Misawa; Takahiro Ohgoe; Youhei Yamaji

Effective Hamiltonian for cuprate superconductors derived from multi-scale ab initio scheme with level renormalization

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arxiv 1901.00763 v1 pith:AG3XE6FX submitted 2019-01-02 cond-mat.str-el cond-mat.supr-con

Motoaki Hirayama , Takahiro Misawa , Takahiro Ohgoe , Youhei Yamaji , Masatoshi Imada This is my paper · ORCID

classification cond-mat.str-elcond-mat.supr-con

keywords effectivederivedhamiltonianhamiltonianslevelsuperconductorsthree-bandagreement

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abstract

Three-types (three-band, two-band and one-band) of effective Hamiltonians for the HgBa$_2$CuO$_4$ and three-band effective Hamiltonian for La$_2$CuO$_4$ are derived beyond the level of the constrained-GW approximation combined with the self-interaction correction (cGW-SIC) derived in Hirayama et al. Phys. Rev. B 98, 134501 (2018) by improving the treatment of the interband Hartree energy. The charge gap and antiferromagnetic ordered moment show good agreement with the experimental results when the present effective Hamiltonian is solved, indicating the importance of the present refinement. The obtained Hamiltonians will serve to clarify the electronic structures of these copper oxide superconductors and to elucidate the superconducting mechanism.

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