Transition from $s_{\pm}$-wave to $d_{x^{2}-y^{2}}$-wave superconductivity driven by interlayer interaction in the bilayer two-orbital model of La$_3$Ni$_2$O$_7$

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Main Authors: Xi, Wenhan, Yu, Shun-Li, Li, Jian-Xin
Format: Preprint
Published: 2025
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author Xi, Wenhan
Yu, Shun-Li
Li, Jian-Xin
author_facet Xi, Wenhan
Yu, Shun-Li
Li, Jian-Xin
contents We utilize the fluctuation-exchange approximation on a bilayer two-orbital model, incorporating $d_{x^2-y^2}$ and $d_{z^2}$ orbitals, to explore potential pairing symmetries in the bilayer nickelate La$_3$Ni$_2$O$_7$. Our study particularly examines the impact of interlayer Coulomb interactions. In the absence of these interactions, the superconducting gap exhibits $s_{\pm}$-wave symmetry, with predominant intraorbital pairing in the $d_{z^2}$ orbital. As interlayer interactions increase, $s_{\pm}$-wave superconductivity is suppressed, while the superconductivity with a $d_{x^2-y^2}$-wave gap is enhanced, resulting in a transition at a critical interaction strength. This $d_{x^2-y^2}$-wave superconductivity is distinct not only from the $s_{\pm}$-wave superconductivity but also from the intraorbital $d$-wave pairing in cuprate superconductors, as it is dominated by the interlayer pairing between the $d_{x^2-y^2}$ and $d_{z^2}$ orbitals. Additionally, charge fluctuations play a crucial role in driving the transition from $s_{\pm}$ wave to $d_{x^2-y^2}$ wave superconductivity. Our findings indicate that interlayer Coulomb interactions are crucial for understanding the pairing mechanism in La$_3$Ni$_2$O$_7$.
format Preprint
id arxiv_https___arxiv_org_abs_2503_15038
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Transition from $s_{\pm}$-wave to $d_{x^{2}-y^{2}}$-wave superconductivity driven by interlayer interaction in the bilayer two-orbital model of La$_3$Ni$_2$O$_7$
Xi, Wenhan
Yu, Shun-Li
Li, Jian-Xin
Superconductivity
Materials Science
Strongly Correlated Electrons
We utilize the fluctuation-exchange approximation on a bilayer two-orbital model, incorporating $d_{x^2-y^2}$ and $d_{z^2}$ orbitals, to explore potential pairing symmetries in the bilayer nickelate La$_3$Ni$_2$O$_7$. Our study particularly examines the impact of interlayer Coulomb interactions. In the absence of these interactions, the superconducting gap exhibits $s_{\pm}$-wave symmetry, with predominant intraorbital pairing in the $d_{z^2}$ orbital. As interlayer interactions increase, $s_{\pm}$-wave superconductivity is suppressed, while the superconductivity with a $d_{x^2-y^2}$-wave gap is enhanced, resulting in a transition at a critical interaction strength. This $d_{x^2-y^2}$-wave superconductivity is distinct not only from the $s_{\pm}$-wave superconductivity but also from the intraorbital $d$-wave pairing in cuprate superconductors, as it is dominated by the interlayer pairing between the $d_{x^2-y^2}$ and $d_{z^2}$ orbitals. Additionally, charge fluctuations play a crucial role in driving the transition from $s_{\pm}$ wave to $d_{x^2-y^2}$ wave superconductivity. Our findings indicate that interlayer Coulomb interactions are crucial for understanding the pairing mechanism in La$_3$Ni$_2$O$_7$.
title Transition from $s_{\pm}$-wave to $d_{x^{2}-y^{2}}$-wave superconductivity driven by interlayer interaction in the bilayer two-orbital model of La$_3$Ni$_2$O$_7$
topic Superconductivity
Materials Science
Strongly Correlated Electrons
url https://arxiv.org/abs/2503.15038