Ground states of the Ising model at fixed magnetization on a triangular ladder with three-spin interactions
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910061611188224 |
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| author | Garuchava, Shota |
| author_facet | Garuchava, Shota |
| contents | We study the Ising model at fixed magnetization on a triangular ladder with three-spin interactions. By recasting the ground-state determination as a linear programming (LP) problem, we solve it exactly using standard LP techniques. We construct the phase diagram for arbitrary fixed magnetization and identify three types of ground states: periodic, phase-separated, and ordered but aperiodic. When magnetization is treated as a free parameter, the ground state adopts only periodic configurations with the average magnetization per site $0$, $\pm 1/3$ or $\pm 1$, except for the phase boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05948 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ground states of the Ising model at fixed magnetization on a triangular ladder with three-spin interactions Garuchava, Shota Statistical Mechanics We study the Ising model at fixed magnetization on a triangular ladder with three-spin interactions. By recasting the ground-state determination as a linear programming (LP) problem, we solve it exactly using standard LP techniques. We construct the phase diagram for arbitrary fixed magnetization and identify three types of ground states: periodic, phase-separated, and ordered but aperiodic. When magnetization is treated as a free parameter, the ground state adopts only periodic configurations with the average magnetization per site $0$, $\pm 1/3$ or $\pm 1$, except for the phase boundaries. |
| title | Ground states of the Ising model at fixed magnetization on a triangular ladder with three-spin interactions |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2511.05948 |