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arXiv · 2506.19916

Nonabelian ferromagnets with three-body interactions

Alexios P. Polychronakos·Konstantinos Sfetsos
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Abstract

We study the thermodynamics of nonabelian ferromagnets consisting of atoms in the fundamental representation of $SU(N)$ and interacting with two-body and three-body interactions. Using a mean field approach, we uncover an intricate phase structure, depending on the relative strength and sign of the two-body and three-body coupling constants. In the case where two-body interactions are ferromagnetic and three-body ones are antiferromagnetic, we uncover a rich cascade of phase transitions, the appearance of phases with two distinct polarization directions being the most striking novel feature. Our results are relevant to magnetic systems where higher-body interactions cannot be neglected.

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Alexios P. Polychronakos, Konstantinos Sfetsos. 2025-06-24. Nonabelian ferromagnets with three-body interactions. https://doi.org/10.1016/j.nuclphysb.2025.117094

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