Weyl superconductivity from Feshbach resonance in the three-dimensional repulsive Hubbard model
Abstract
Motivated by the first experimental realization of the antiferromagnetic phase transition in the three-dimensional Fermi-Hubbard model, we present a theoretical study of the model's 3D superconducting phase. By formulating a 3D extension of the Feshbach mechanism, we provide a unified microscopic picture at strong coupling in which pairing is driven by near-resonant bound states of dopants. These long-lived bound states acquire a qualitatively different internal structure in three dimensions compared to their two-dimensional counterparts, giving rise to a distinct superconducting state, namely a time-reversal symmetry breaking dx2−y2+idz2 pairing state. We also provide an estimate of the corresponding critical temperature, and provide evidence that the resulting superconducting phase hosts gapless Weyl points. Our results represent a new milestone for the field of quantum simulation, challenging experiments and large-scale numerics alike to test our predictions.
Related
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BibTeX
@misc{kim2026weyl,
title = {{Weyl superconductivity from Feshbach resonance in the three-dimensional repulsive Hubbard model}},
author = {Taekyoung Kim and Pit Bermes and Giorgia A. Busin and Fabian Grusdt},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.39418},
eprint = {2609.39418},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39418},
}
RIS
TY - UNPB
TI - Weyl superconductivity from Feshbach resonance in the three-dimensional repulsive Hubbard model
AU - Taekyoung Kim
AU - Pit Bermes
AU - Giorgia A. Busin
AU - Fabian Grusdt
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2609.39418
UR - https://arxiv.org/abs/2609.39418
AB - Motivated by the first experimental realization of the antiferromagnetic phase transition in the three-dimensional Fermi-Hubbard model, we present a theoretical study of the model's 3D superconducting phase. By formulating a 3D extension of the Feshbach mechanism, we provide a unified microscopic picture at strong coupling in which pairing is driven by near-resonant bound states of dopants. These long-lived bound states acquire a qualitatively different internal structure in three dimensions compared to their two-dimensional counterparts, giving rise to a distinct superconducting state, namely a time-reversal symmetry breaking d_x^2−y^2+id_z^2 pairing state. We also provide an estimate of the corresponding critical temperature, and provide evidence that the resulting superconducting phase hosts gapless Weyl points. Our results represent a new milestone for the field of quantum simulation, challenging experiments and large-scale numerics alike to test our predictions.
ER -