A B1g phonon unlocks d-wave superconductivity in the repulsive Hubbard model
Abstract
Using numerically exact finite-temperature quantum Monte Carlo, we demonstrate that a B1g phonon coupled to the doped t-t' repulsive Hubbard model produces genuine d-wave superconductivity at a substantial transition temperature, in excess of either interaction alone. The observed trends suggest that stronger Hubbard repulsion may cooperate with the phonon to further raise the pairing scale. The enhancement persists at stronger repulsion within the accessible window, limited by the fermion sign problem, and follows a common trend across phonon frequencies Ω when organized by a retardation scale 2πT/Ω. We also find a well-defined superconducting dome in doping, echoing a characteristic feature of correlated superconductors. Our results identify the B1g phonon as a plausible microscopic ingredient for robust d-wave superconductivity in the Hubbard model and suggest a concrete, physically motivated route toward materials with higher superconducting transition temperatures.
Related
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BibTeX
@misc{wang2026phonon,
title = {{A $B_1g$ phonon unlocks $d$-wave superconductivity in the repulsive Hubbard model}},
author = {Wen O. Wang and Tianshu Li and Xiaoyue Ma and Rong Zhang and Lei Zhang and Shruti Agarwal and Benjamin Cohen-Stead and Emily Z. Zhang and Brian Moritz and Steven Johnston and Zhi-Xun Shen and Thomas P. Devereaux},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37746},
eprint = {2610.37746},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37746},
}
RIS
TY - UNPB
TI - A B_1g phonon unlocks d-wave superconductivity in the repulsive Hubbard model
AU - Wen O. Wang
AU - Tianshu Li
AU - Xiaoyue Ma
AU - Rong Zhang
AU - Lei Zhang
AU - Shruti Agarwal
AU - Benjamin Cohen-Stead
AU - Emily Z. Zhang
AU - Brian Moritz
AU - Steven Johnston
AU - Zhi-Xun Shen
AU - Thomas P. Devereaux
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37746
UR - https://arxiv.org/abs/2610.37746
AB - Using numerically exact finite-temperature quantum Monte Carlo, we demonstrate that a B_1g phonon coupled to the doped t-t' repulsive Hubbard model produces genuine d-wave superconductivity at a substantial transition temperature, in excess of either interaction alone. The observed trends suggest that stronger Hubbard repulsion may cooperate with the phonon to further raise the pairing scale. The enhancement persists at stronger repulsion within the accessible window, limited by the fermion sign problem, and follows a common trend across phonon frequencies Ω when organized by a retardation scale 2πT/Ω. We also find a well-defined superconducting dome in doping, echoing a characteristic feature of correlated superconductors. Our results identify the B_1g phonon as a plausible microscopic ingredient for robust d-wave superconductivity in the Hubbard model and suggest a concrete, physically motivated route toward materials with higher superconducting transition temperatures.
ER -