On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913151557042176 |
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| author | Ohanyan, Vadim Richter, Johannes Sekania, Michael Giambattista, Lucas Andreanov, Alexei Kollar, Marcus |
| author_facet | Ohanyan, Vadim Richter, Johannes Sekania, Michael Giambattista, Lucas Andreanov, Alexei Kollar, Marcus |
| contents | We consider a generalization of the XXZ model on the sawtooth spin chain with Dzyaloshinskii-Moriya interactions in which all exchange constants (symmetric, antisymmetric, and axial anisotropy) are different for the three different bonds of each triangle. We derive and resolve algebraic constraints on the exchange constants ensuring the appearance of a flat band in the one-magnon spectrum. The properties of the corresponding flat magnon bands and localized magnon states are analyzed. We further construct the mapping of the flat-band conditions for the Dzyaloshinskii-Moriya constants onto the Katsura-Nagaosa-Balatsky parameters. Based on the mapping, the possibility of the electric-field-driven flat bands with the aid of the magnetoelectric coupling is examined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15461 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain Ohanyan, Vadim Richter, Johannes Sekania, Michael Giambattista, Lucas Andreanov, Alexei Kollar, Marcus Strongly Correlated Electrons We consider a generalization of the XXZ model on the sawtooth spin chain with Dzyaloshinskii-Moriya interactions in which all exchange constants (symmetric, antisymmetric, and axial anisotropy) are different for the three different bonds of each triangle. We derive and resolve algebraic constraints on the exchange constants ensuring the appearance of a flat band in the one-magnon spectrum. The properties of the corresponding flat magnon bands and localized magnon states are analyzed. We further construct the mapping of the flat-band conditions for the Dzyaloshinskii-Moriya constants onto the Katsura-Nagaosa-Balatsky parameters. Based on the mapping, the possibility of the electric-field-driven flat bands with the aid of the magnetoelectric coupling is examined. |
| title | On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2511.15461 |