Coupled sawtooth chain exchange network in olivine Mn$_2$GeO$_4$
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866915716554293248 |
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| author | Morano, Vincent C. Maesen, Zeno Nikitin, Stanislav White, Jonathan S. Honda, Takashi Kimura, Tsuyoshi Kenzelmann, Michel Pajerowski, Daniel Zaharko, Oksana |
| author_facet | Morano, Vincent C. Maesen, Zeno Nikitin, Stanislav White, Jonathan S. Honda, Takashi Kimura, Tsuyoshi Kenzelmann, Michel Pajerowski, Daniel Zaharko, Oksana |
| contents | Sawtooth chain magnets have been a subject of historical interest in the field of frustrated magnetism, with classical olivine family $M_2TX_4$, ($M$ - 3d, $T$ - 4p, $X$ - chalcogen elements) typically realizing simple $\mathbf{k} = (000)$ states. The magnetism of the Mn$_2$GeO$_4$ olivine is surprisingly complex, proceeding from commensurate states to a multiferroic commensurate + incommensurate phase. Here we report inelastic neutron scattering results from a Mn$_2$GeO$_4$ single crystal and develop an effective Hamiltonian including long-distance bilinear and dipolar interactions. The magnetic interactions are predominantly antiferromagnetic and span a three-dimensional exchange network consisting of coupled sawtooth chains. Based on the determined strength of the couplings, the dominant sawtooth chains appear at third- and fourth- rather than next-nearest-neighbor. However the next-nearest-neighbor interaction is, along with a modest Dzyaloshinskii-Moriya interaction, important for modeling the observed incommensurability. We use the best-fit Hamiltonian as the basis for Langevin dynamics simulations and Luttinger-Tisza calculations of the high-temperature commensurate transition. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_04908 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Coupled sawtooth chain exchange network in olivine Mn$_2$GeO$_4$ Morano, Vincent C. Maesen, Zeno Nikitin, Stanislav White, Jonathan S. Honda, Takashi Kimura, Tsuyoshi Kenzelmann, Michel Pajerowski, Daniel Zaharko, Oksana Strongly Correlated Electrons Sawtooth chain magnets have been a subject of historical interest in the field of frustrated magnetism, with classical olivine family $M_2TX_4$, ($M$ - 3d, $T$ - 4p, $X$ - chalcogen elements) typically realizing simple $\mathbf{k} = (000)$ states. The magnetism of the Mn$_2$GeO$_4$ olivine is surprisingly complex, proceeding from commensurate states to a multiferroic commensurate + incommensurate phase. Here we report inelastic neutron scattering results from a Mn$_2$GeO$_4$ single crystal and develop an effective Hamiltonian including long-distance bilinear and dipolar interactions. The magnetic interactions are predominantly antiferromagnetic and span a three-dimensional exchange network consisting of coupled sawtooth chains. Based on the determined strength of the couplings, the dominant sawtooth chains appear at third- and fourth- rather than next-nearest-neighbor. However the next-nearest-neighbor interaction is, along with a modest Dzyaloshinskii-Moriya interaction, important for modeling the observed incommensurability. We use the best-fit Hamiltonian as the basis for Langevin dynamics simulations and Luttinger-Tisza calculations of the high-temperature commensurate transition. |
| title | Coupled sawtooth chain exchange network in olivine Mn$_2$GeO$_4$ |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2601.04908 |