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arXiv · 2511.05948

Ground states of the Ising model at fixed magnetization on a triangular ladder with three-spin interactions

Shota Garuchava
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Abstract

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.

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Shota Garuchava. 2025-11-08. Ground states of the Ising model at fixed magnetization on a triangular ladder with three-spin interactions. https://doi.org/10.1088/1751-8121/ae513e

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