Floquet engineering of competing antiferromagnetism and d-wave superconductivity on the square lattice
Abstract
We propose a driven Lieb--Hubbard quantum simulator whose prethermal dynamics realize a square-lattice spin-1/2 fermion model with independently tunable repulsive on-site and attractive bond interactions. Periodically modulating the charge-transfer offset between the site (d) and bond (p) orbitals of the Lieb lattice brings a p-orbital doublon energetically close to a pair in the d manifold while keeping all p-orbital singlons off resonance, thereby creating a synthetic ``negative-U'' center on a Lieb-lattice bond site. Two controlled eliminations then generate a compact bond attraction in the reduced d-only model on the square lattice, despite the microscopic repulsion in the p orbital. The resulting interaction J is tunable independently of the Hubbard repulsion Ud on the d orbitals, while interference between photon-assisted paths provides access to an intermediate-coupling regime in which J and Ud are both comparable to the effective hopping. At half filling, a mean-field calculation in this regime finds adjacent antiferromagnetic and d-wave superconducting phases, as well as narrow coexistence regions, suggesting close competition between these orders. We discuss the branch-preparation, prethermal, and higher-band conditions required to translate the formal construction into an optical-lattice protocol. More broadly, our work identifies a structural similarity between Floquet systems and electron-phonon problems that may guide the design of novel quantum-simulation protocols.
Related
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BibTeX
@misc{han2026floquet,
title = {{Floquet engineering of competing antiferromagnetism and $d$-wave superconductivity on the square lattice}},
author = {Zhaoyu Han and Subir Sachdev},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28750},
eprint = {2608.28750},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28750},
}
RIS
TY - UNPB
TI - Floquet engineering of competing antiferromagnetism and d-wave superconductivity on the square lattice
AU - Zhaoyu Han
AU - Subir Sachdev
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28750
UR - https://arxiv.org/abs/2608.28750
AB - We propose a driven Lieb--Hubbard quantum simulator whose prethermal dynamics realize a square-lattice spin-1/2 fermion model with independently tunable repulsive on-site and attractive bond interactions. Periodically modulating the charge-transfer offset between the site (d) and bond (p) orbitals of the Lieb lattice brings a p-orbital doublon energetically close to a pair in the d manifold while keeping all p-orbital singlons off resonance, thereby creating a synthetic ``negative-U'' center on a Lieb-lattice bond site. Two controlled eliminations then generate a compact bond attraction in the reduced d-only model on the square lattice, despite the microscopic repulsion in the p orbital. The resulting interaction J is tunable independently of the Hubbard repulsion U_d on the d orbitals, while interference between photon-assisted paths provides access to an intermediate-coupling regime in which J and U_d are both comparable to the effective hopping. At half filling, a mean-field calculation in this regime finds adjacent antiferromagnetic and d-wave superconducting phases, as well as narrow coexistence regions, suggesting close competition between these orders. We discuss the branch-preparation, prethermal, and higher-band conditions required to translate the formal construction into an optical-lattice protocol. More broadly, our work identifies a structural similarity between Floquet systems and electron-phonon problems that may guide the design of novel quantum-simulation protocols.
ER -