Ground states of the Ising model at fixed magnetization on a triangular ladder with three-spin interactions
Statistical Mechanics
2026-03-24 v2
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 , or , except for the phase boundaries.
Cite
@article{arxiv.2511.05948,
title = {Ground states of the Ising model at fixed magnetization on a triangular ladder with three-spin interactions},
author = {Shota Garuchava},
journal= {arXiv preprint arXiv:2511.05948},
year = {2026}
}