Emergent Shastry-Sutherland network from square-kagome Heisenberg antiferromagnet with trimerization
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915557732777984 |
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| author | Mizoguchi, Tomonari |
| author_facet | Mizoguchi, Tomonari |
| contents | We study the $S=1/2$ square-kagome lattice Heisenberg antiferromagnet with the trimarized modulation. In the trimerized limit, each trimer hosts the four-fold degenearte ground states characterized by the spin and chirality degrees of freedom. We find that, within the first-order perturbation theory with respect to the inter-trimer coupling, the effective Hamiltonian is the Kugel-Khomskii-type model on a Shastry-Sutherland lattice. Based on a mean-field decoupling, we propose a dimer-covering ansatz for the effective Hamiltonian; however, the validity of these states in the low-energy sector remains an open question. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_14492 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergent Shastry-Sutherland network from square-kagome Heisenberg antiferromagnet with trimerization Mizoguchi, Tomonari Strongly Correlated Electrons We study the $S=1/2$ square-kagome lattice Heisenberg antiferromagnet with the trimarized modulation. In the trimerized limit, each trimer hosts the four-fold degenearte ground states characterized by the spin and chirality degrees of freedom. We find that, within the first-order perturbation theory with respect to the inter-trimer coupling, the effective Hamiltonian is the Kugel-Khomskii-type model on a Shastry-Sutherland lattice. Based on a mean-field decoupling, we propose a dimer-covering ansatz for the effective Hamiltonian; however, the validity of these states in the low-energy sector remains an open question. |
| title | Emergent Shastry-Sutherland network from square-kagome Heisenberg antiferromagnet with trimerization |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2510.14492 |