Ground states of quantum XY dipoles on the Archimedean lattices
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arXiv
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2026
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| author | Bintz, Marcus Khalifa, Ahmed Liu, Vincent S. Hauschild, Johannes Zaletel, Michael P. Chatterjee, Shubhayu Yao, Norman Y. |
| author_facet | Bintz, Marcus Khalifa, Ahmed Liu, Vincent S. Hauschild, Johannes Zaletel, Michael P. Chatterjee, Shubhayu Yao, Norman Y. |
| contents | We report numerical ground states for the dipolar XY spin model, which describes extended antiferromagnetic interactions in two-dimensional arrays of polar molecules and two-level Rydberg atoms. Carrying out large-scale density matrix renormalization group (DMRG) calculations, we compute ground state properties on nine of the eleven Archimedean lattices--tilings of the plane by regular polygons. Four of these host trivial paramagnets, while another four develop collinear Neel magnetic order, as was found previously for the square lattice. For the ordered states, we calculate the hydrodynamic parameters (magnetization, susceptibility, and stiffness) and compare to linear spin wave theory. We also investigate the triangular lattice, for which we find several competing phases including coplanar magnetism, stripe density wave order, and a possible spin liquid; their relative stability is sensitive to the long-range couplings present in our dipolar model. Finally, the Archimedean classification is completed by the kagome lattice, which we argue in a companion work is likely to be a Dirac spin liquid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07685 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Ground states of quantum XY dipoles on the Archimedean lattices Bintz, Marcus Khalifa, Ahmed Liu, Vincent S. Hauschild, Johannes Zaletel, Michael P. Chatterjee, Shubhayu Yao, Norman Y. Strongly Correlated Electrons Quantum Gases Atomic Physics We report numerical ground states for the dipolar XY spin model, which describes extended antiferromagnetic interactions in two-dimensional arrays of polar molecules and two-level Rydberg atoms. Carrying out large-scale density matrix renormalization group (DMRG) calculations, we compute ground state properties on nine of the eleven Archimedean lattices--tilings of the plane by regular polygons. Four of these host trivial paramagnets, while another four develop collinear Neel magnetic order, as was found previously for the square lattice. For the ordered states, we calculate the hydrodynamic parameters (magnetization, susceptibility, and stiffness) and compare to linear spin wave theory. We also investigate the triangular lattice, for which we find several competing phases including coplanar magnetism, stripe density wave order, and a possible spin liquid; their relative stability is sensitive to the long-range couplings present in our dipolar model. Finally, the Archimedean classification is completed by the kagome lattice, which we argue in a companion work is likely to be a Dirac spin liquid. |
| title | Ground states of quantum XY dipoles on the Archimedean lattices |
| topic | Strongly Correlated Electrons Quantum Gases Atomic Physics |
| url | https://arxiv.org/abs/2605.07685 |