Exotic magnetization curves in classical square-kagomé spin lattices
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910286354579456 |
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| author | Schmidt, Heinz-Jürgen Richter, Johannes |
| author_facet | Schmidt, Heinz-Jürgen Richter, Johannes |
| contents | Classical spin systems with non-coplanar ground states typically exhibit nonlinear magnetization curves characterized by kinks and jumps. Our article briefly summarizes the most important related analytical results. In a comprehensive case study, we then address AF-square kagomé and AF/FM-square kagomé spin lattices equipped with additional cross-plaquette interactions. It is known that these systems have non-coplanar ground states that assume a cuboctahedral structure in the absence of a magnetic field. When a magnetic field $H$ is switched on, a rich variety of different phases develops from the cuboctahedral ground state, which are studied in their dependence on $H$ and a cross-plaquette coupling constant $J_3>0$. For the AF square-kagomé spin lattice, we carefully identify and describe seven phases that appear in a phase diagram with five triple points. The transitions between these phases are predominantly discontinuous, although two cases exhibit continuous transitions. In contrast, the phase diagram of the AF/FM square-kagomé model shows only four phases with a single triple point, but these also lead to exotic magnetization curves. Here, too, there are two types of phase boundaries belonging to continuous and discontinuous transitions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_01678 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exotic magnetization curves in classical square-kagomé spin lattices Schmidt, Heinz-Jürgen Richter, Johannes Strongly Correlated Electrons Other Condensed Matter Classical spin systems with non-coplanar ground states typically exhibit nonlinear magnetization curves characterized by kinks and jumps. Our article briefly summarizes the most important related analytical results. In a comprehensive case study, we then address AF-square kagomé and AF/FM-square kagomé spin lattices equipped with additional cross-plaquette interactions. It is known that these systems have non-coplanar ground states that assume a cuboctahedral structure in the absence of a magnetic field. When a magnetic field $H$ is switched on, a rich variety of different phases develops from the cuboctahedral ground state, which are studied in their dependence on $H$ and a cross-plaquette coupling constant $J_3>0$. For the AF square-kagomé spin lattice, we carefully identify and describe seven phases that appear in a phase diagram with five triple points. The transitions between these phases are predominantly discontinuous, although two cases exhibit continuous transitions. In contrast, the phase diagram of the AF/FM square-kagomé model shows only four phases with a single triple point, but these also lead to exotic magnetization curves. Here, too, there are two types of phase boundaries belonging to continuous and discontinuous transitions. |
| title | Exotic magnetization curves in classical square-kagomé spin lattices |
| topic | Strongly Correlated Electrons Other Condensed Matter |
| url | https://arxiv.org/abs/2401.01678 |