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PreprintCC BY 4.0arXiv

Cuprate d-wave superconductivity based on Non perturbative many body theory for spin fluctuation

Abstract

We employ the nonperturbative many-body spin GW method to compute the single-particle Green's function, and the covariance method to evaluate the two-body correlation functions, for the Hubbard model of superconductors. The method, benchmarked at strong coupling and low temperatures, allows simulations on lattices up to 64×64, thereby enabling access to the thermodynamic limit. We find the key transition temperatures---namely the Néel temperature and the superconducting critical temperature Tc---to be in quantitative agreement with experimental data. Above the d-wave superconducting dome, there exists a broad pseudogap region in which the normal-state excitations are suppressed. These results indicate our approach may offer a new route toward investigating strongly correlated systems, especially cuprate superconductors.

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BibTeX
@misc{gong2026cuprate,
  title = {{Cuprate d-wave superconductivity based on Non perturbative many body theory for spin fluctuation}},
  author = {Jianwei Gong and Junnian Xiong and Ruitao Xiao and Hui Li and Ziyu Li and Huaqing Huang and Dingping Li},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.04168},
  eprint = {2607.04168},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.04168},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Cuprate d-wave superconductivity based on Non perturbative many body theory for spin fluctuation
AU  - Jianwei Gong
AU  - Junnian Xiong
AU  - Ruitao Xiao
AU  - Hui Li
AU  - Ziyu Li
AU  - Huaqing Huang
AU  - Dingping Li
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2607.04168
UR  - https://arxiv.org/abs/2607.04168
AB  - We employ the nonperturbative many-body spin GW method to compute the single-particle Green's function, and the covariance method to evaluate the two-body correlation functions, for the Hubbard model of superconductors. The method, benchmarked at strong coupling and low temperatures, allows simulations on lattices up to 64×64, thereby enabling access to the thermodynamic limit. We find the key transition temperatures---namely the Néel temperature and the superconducting critical temperature T_c---to be in quantitative agreement with experimental data. Above the d-wave superconducting dome, there exists a broad pseudogap region in which the normal-state excitations are suppressed. These results indicate our approach may offer a new route toward investigating strongly correlated systems, especially cuprate superconductors.
ER  -