Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors
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 bet...
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2025-06-01
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| author | Louis-Bernard St-Cyr, David Sénéchal |
| author_facet | Louis-Bernard St-Cyr, David Sénéchal |
| author_sort | Louis-Bernard St-Cyr, David Sénéchal |
| collection | DOAJ |
| description | 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 $\epsilon_p$ 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 $U-\epsilon_p$ for these materials, within this model. We compute the density of states for these and the effect of $(U,\epsilon_p)$ on the $n_d$-$n_p$ curve, superconductivity, and antiferromagnetism. |
| format | Article |
| id | doaj-art-b4e4ba47701740898aa5002615a07013 |
| institution | Kabale University |
| issn | 2666-9366 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj-art-b4e4ba47701740898aa5002615a070132025-08-20T03:26:16ZengSciPostSciPost Physics Core2666-93662025-06-018204310.21468/SciPostPhysCore.8.2.043Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductorsLouis-Bernard St-Cyr, David SénéchalThe 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 $\epsilon_p$ 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 $U-\epsilon_p$ for these materials, within this model. We compute the density of states for these and the effect of $(U,\epsilon_p)$ on the $n_d$-$n_p$ curve, superconductivity, and antiferromagnetism.https://scipost.org/SciPostPhysCore.8.2.043 |
| spellingShingle | Louis-Bernard St-Cyr, David Sénéchal Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors SciPost Physics Core |
| title | Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors |
| title_full | Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors |
| title_fullStr | Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors |
| title_full_unstemmed | Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors |
| title_short | Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors |
| title_sort | effect of the coulomb repulsion and oxygen level on charge distribution and superconductivity in the emery model for cuprates superconductors |
| url | https://scipost.org/SciPostPhysCore.8.2.043 |
| work_keys_str_mv | AT louisbernardstcyrdavidsenechal effectofthecoulombrepulsionandoxygenlevelonchargedistributionandsuperconductivityintheemerymodelforcupratessuperconductors |