The role of the apical oxygen in cuprate high-temperature superconductors

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Autori principali: Vadnais, Samuel, Duchesne, Rémi, Haule, Kristjan, Tremblay, A. -M. S., Sénéchal, David, Bacq-Labreuil, Benjamin
Natura: Preprint
Pubblicazione: 2026
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author Vadnais, Samuel
Duchesne, Rémi
Haule, Kristjan
Tremblay, A. -M. S.
Sénéchal, David
Bacq-Labreuil, Benjamin
author_facet Vadnais, Samuel
Duchesne, Rémi
Haule, Kristjan
Tremblay, A. -M. S.
Sénéchal, David
Bacq-Labreuil, Benjamin
contents Scanning tunneling microscopy measurements exploiting the natural superstructure modulation of the cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ (Bi-2212) have revealed a possible correlation between the Cu-apical-O distance $δ_{\mathrm{api}}$ and the superconducting order parameter $m_{\mathrm{SC}}$, as reported recently by O'Mahony et al. (Proc. Natl. Acad. Sci. 119, e2207449119 (2022)). These observations were interpreted as evidence for a direct link between superconductivity and the charge-transfer gap, and more broadly revived the long-standing question of the role of apical oxygens in cuprate superconductivity. Using a combination of density-functional theory and cluster dynamical mean-field theory, we compute from first principles the variations of $m_{\mathrm{SC}}$ induced solely by apical oxygen displacement in Bi$_2$Sr$_2$CuO$_{6+δ}$, Bi-2212, and HgBa$_2$CuO$_{4+δ}$. The quantitative agreement between our calculations and experiments allows us to unambiguously attribute the observed variations of $m_{\mathrm{SC}}$ to changes in $δ_{\mathrm{api}}$. We demonstrate, however, that these variations of $m_{\mathrm{SC}}$ originate predominantly from changes in the effective hole-doping of the CuO$_2$ planes, with negligible effect on the charge-transfer gap. The modest magnitude of the $m_{\mathrm{SC}}$ modulation induced by apical-oxygen displacement alone therefore warrants caution in interpreting correlations between $T_c$ and $δ_{\mathrm{api}}$ inferred from comparisons across different cuprate compounds. Our work demonstrates that the present ab initio framework can quantitatively resolve the influence of specific structural degrees of freedom on superconductivity in correlated oxides.
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id arxiv_https___arxiv_org_abs_2601_16017
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The role of the apical oxygen in cuprate high-temperature superconductors
Vadnais, Samuel
Duchesne, Rémi
Haule, Kristjan
Tremblay, A. -M. S.
Sénéchal, David
Bacq-Labreuil, Benjamin
Strongly Correlated Electrons
Superconductivity
Scanning tunneling microscopy measurements exploiting the natural superstructure modulation of the cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ (Bi-2212) have revealed a possible correlation between the Cu-apical-O distance $δ_{\mathrm{api}}$ and the superconducting order parameter $m_{\mathrm{SC}}$, as reported recently by O'Mahony et al. (Proc. Natl. Acad. Sci. 119, e2207449119 (2022)). These observations were interpreted as evidence for a direct link between superconductivity and the charge-transfer gap, and more broadly revived the long-standing question of the role of apical oxygens in cuprate superconductivity. Using a combination of density-functional theory and cluster dynamical mean-field theory, we compute from first principles the variations of $m_{\mathrm{SC}}$ induced solely by apical oxygen displacement in Bi$_2$Sr$_2$CuO$_{6+δ}$, Bi-2212, and HgBa$_2$CuO$_{4+δ}$. The quantitative agreement between our calculations and experiments allows us to unambiguously attribute the observed variations of $m_{\mathrm{SC}}$ to changes in $δ_{\mathrm{api}}$. We demonstrate, however, that these variations of $m_{\mathrm{SC}}$ originate predominantly from changes in the effective hole-doping of the CuO$_2$ planes, with negligible effect on the charge-transfer gap. The modest magnitude of the $m_{\mathrm{SC}}$ modulation induced by apical-oxygen displacement alone therefore warrants caution in interpreting correlations between $T_c$ and $δ_{\mathrm{api}}$ inferred from comparisons across different cuprate compounds. Our work demonstrates that the present ab initio framework can quantitatively resolve the influence of specific structural degrees of freedom on superconductivity in correlated oxides.
title The role of the apical oxygen in cuprate high-temperature superconductors
topic Strongly Correlated Electrons
Superconductivity
url https://arxiv.org/abs/2601.16017