Interacting multicomponent $SU(N)$ magnets

Alexios P. Polychronakos; Konstantinos Sfetsos

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arXiv · 2610.07157

Interacting multicomponent $SU(N)$ magnets

Alexios P. Polychronakos·Konstantinos Sfetsos

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Abstract

We study magnets composed of molecules with atoms interacting via $SU(N)$-invariant two-body interactions. Atoms carry states transforming in generically different irreducible representations of $SU(N)$, and the interaction strength between atoms depends on the specific atoms involved. We derive the thermodynamics of these magnets in the mean-field approach, and find that they can exhibit mixed ferro-antiferromagnetic behavior. We present a full analysis of the simplest nontrivial case of molecules consisting of two atoms in the spin-$j$ representation of $SU(2)$, which generalizes conventional magnetic systems, and derive its phase structure and transitions.

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Alexios P. Polychronakos, Konstantinos Sfetsos. 2026-10-05. Interacting multicomponent $SU(N)$ magnets. https://arxiv.org/abs/2610.07157

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