Absence of two-orbital superconductivity in cuprate family: A DFT+DMFT perspective

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Main Authors: She, Jian-Hong, Wang, Jing-Xuan, He, Rong-Qiang, Lu, Zhong-Yi
Format: Preprint
Published: 2025
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author She, Jian-Hong
Wang, Jing-Xuan
He, Rong-Qiang
Lu, Zhong-Yi
author_facet She, Jian-Hong
Wang, Jing-Xuan
He, Rong-Qiang
Lu, Zhong-Yi
contents The recent discovery of high-temperature superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$ has spurred intense interest in exploring analogous mechanisms in other transition metal oxides. This raises a pivotal question: can cuprates, as neighbors to nickelates in the periodic table, host similar two-orbital superconductivity? Here, we systematically investigate the electronic structure of a series of designed Ruddlesden-Popper cuprates. Our calculations reveal that the parent compound La$_3$Cu$_2$O$_7$ is a weakly correlated metal, and hole-doping fails to induce strong correlation. We find that the actual valence of the copper cations becomes strikingly pinned around +2.3, far away from the targeted $d^8$ configuration. This valence pinning is attributed to the inherent charge-transfer nature of cuprates. We propose this mechanism as a general principle explaining the robust single-orbital physics consistently observed in the cuprate family, holding true even in materials like the high-$T_c$ superconductor Ba$_2$CuO$_{3+δ}$ that appear structurally primed for two-orbital activity. Our results therefore conclude that the route towards two-orbital superconductivity is fundamentally obstructed in cuprates, providing a crucial constraint for the future design of high-temperature superconductors.
format Preprint
id arxiv_https___arxiv_org_abs_2509_08823
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Absence of two-orbital superconductivity in cuprate family: A DFT+DMFT perspective
She, Jian-Hong
Wang, Jing-Xuan
He, Rong-Qiang
Lu, Zhong-Yi
Superconductivity
Strongly Correlated Electrons
The recent discovery of high-temperature superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$ has spurred intense interest in exploring analogous mechanisms in other transition metal oxides. This raises a pivotal question: can cuprates, as neighbors to nickelates in the periodic table, host similar two-orbital superconductivity? Here, we systematically investigate the electronic structure of a series of designed Ruddlesden-Popper cuprates. Our calculations reveal that the parent compound La$_3$Cu$_2$O$_7$ is a weakly correlated metal, and hole-doping fails to induce strong correlation. We find that the actual valence of the copper cations becomes strikingly pinned around +2.3, far away from the targeted $d^8$ configuration. This valence pinning is attributed to the inherent charge-transfer nature of cuprates. We propose this mechanism as a general principle explaining the robust single-orbital physics consistently observed in the cuprate family, holding true even in materials like the high-$T_c$ superconductor Ba$_2$CuO$_{3+δ}$ that appear structurally primed for two-orbital activity. Our results therefore conclude that the route towards two-orbital superconductivity is fundamentally obstructed in cuprates, providing a crucial constraint for the future design of high-temperature superconductors.
title Absence of two-orbital superconductivity in cuprate family: A DFT+DMFT perspective
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2509.08823