Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910997432762368 |
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| author | St-Cyr, Louis-Bernard Sénéchal, David |
| author_facet | St-Cyr, Louis-Bernard Sénéchal, David |
| contents | The Emery model (aka the three-band Hubbard model) offers a simplified description of the copper-oxide planes that form the building blocks of high-temperature superconductors. By contrast with the even simpler one-band Hubbard model, it differentiates between copper and oxygen orbitals and thus between oxygen occupation ($n_p$) and copper occupation ($n_d$). Here we demonstrate, using cluster dynamical mean field theory, how the two occupations are related to the on-site Coulomb repulsion $U$ on the copper orbital and to the energy difference $ε_p$ between oxygen and copper orbitals. Since the occupations ($n_p$ and $n_d$) have been estimated from NMR for a few materials (LCO, YBCO and NCCO), this allows us to estimate the value of $U-ε_p$ for these materials, within this model. We compute the density of states for these and the effect of $(U,ε_p)$ on the $n_d$-$n_p$ curve, superconductivity, and antiferromagnetism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07810 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors St-Cyr, Louis-Bernard Sénéchal, David Strongly Correlated Electrons Superconductivity The Emery model (aka the three-band Hubbard model) offers a simplified description of the copper-oxide planes that form the building blocks of high-temperature superconductors. By contrast with the even simpler one-band Hubbard model, it differentiates between copper and oxygen orbitals and thus between oxygen occupation ($n_p$) and copper occupation ($n_d$). Here we demonstrate, using cluster dynamical mean field theory, how the two occupations are related to the on-site Coulomb repulsion $U$ on the copper orbital and to the energy difference $ε_p$ between oxygen and copper orbitals. Since the occupations ($n_p$ and $n_d$) have been estimated from NMR for a few materials (LCO, YBCO and NCCO), this allows us to estimate the value of $U-ε_p$ for these materials, within this model. We compute the density of states for these and the effect of $(U,ε_p)$ on the $n_d$-$n_p$ curve, superconductivity, and antiferromagnetism. |
| title | Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2503.07810 |