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PreprintCC BY 4.0arXiv

d-wave superconductivity in quintuple-layer bulk superconductor La6Ni5O12

Abstract

The recent realization of bulk superconductivity in the quintuple-layer nickelate La6Ni5O12 opens new opportunities to probe the pairing symmetry of the reduced Ruddlesden--Popper (RP) nickelate family. Using an effective five-layer Hubbard model and variational Monte Carlo calculations, we find that a spin-singlet dx2−y2-wave state is energetically favored, while extended-s-wave pairing is strongly suppressed. Based on the optimized superconducting state, we further calculate several experimentally accessible observables. The tunneling density of states exhibits a characteristic V-shaped low-energy spectrum, the superfluid density shows a linear low-temperature depletion, the Knight shift decreases below Tc, and the spin-lattice relaxation rate follows 1/T1T∝ T2, together providing consistent signatures of a clean nodal superconductor. Extending the same framework to related reduced RP nickelates, we find a robust d-wave tendency in infinite-layer LaNiO2, while trilayer La4Ni3O8 at its nominal filling lies close to the boundary between d-wave superconductivity and a non-superconducting state. These results establish bulk La6Ni5O12 as a promising platform for determining the pairing symmetry of nickelate superconductors and suggest a common dx2−y2-wave pairing tendency across the reduced RP nickelate family.

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BibTeX
@misc{wang2026dwave,
  title = {{$d$-wave superconductivity in quintuple-layer bulk superconductor La$_6$Ni$_5$O$_12$}},
  author = {Zhan Wang and Yuxin Wang and Hui-Ke Jin and Kun Jiang and Jiangping Hu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22212},
  eprint = {2610.22212},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22212},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - d-wave superconductivity in quintuple-layer bulk superconductor La_6Ni_5O_12
AU  - Zhan Wang
AU  - Yuxin Wang
AU  - Hui-Ke Jin
AU  - Kun Jiang
AU  - Jiangping Hu
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22212
UR  - https://arxiv.org/abs/2610.22212
AB  - The recent realization of bulk superconductivity in the quintuple-layer nickelate La_6Ni_5O_12 opens new opportunities to probe the pairing symmetry of the reduced Ruddlesden--Popper (RP) nickelate family. Using an effective five-layer Hubbard model and variational Monte Carlo calculations, we find that a spin-singlet d_x^2−y^2-wave state is energetically favored, while extended-s-wave pairing is strongly suppressed. Based on the optimized superconducting state, we further calculate several experimentally accessible observables. The tunneling density of states exhibits a characteristic V-shaped low-energy spectrum, the superfluid density shows a linear low-temperature depletion, the Knight shift decreases below T_c, and the spin-lattice relaxation rate follows 1/T_1T∝ T^2, together providing consistent signatures of a clean nodal superconductor. Extending the same framework to related reduced RP nickelates, we find a robust d-wave tendency in infinite-layer LaNiO_2, while trilayer La_4Ni_3O_8 at its nominal filling lies close to the boundary between d-wave superconductivity and a non-superconducting state. These results establish bulk La_6Ni_5O_12 as a promising platform for determining the pairing symmetry of nickelate superconductors and suggest a common d_x^2−y^2-wave pairing tendency across the reduced RP nickelate family.
ER  -