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PreprintarXiv licencearXiv

Interacting multicomponent SU(N) magnets

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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BibTeX
@misc{polychronakos2026interacting,
  title = {{Interacting multicomponent $SU(N)$ magnets}},
  author = {Alexios P. Polychronakos and Konstantinos Sfetsos},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.07157},
  eprint = {2610.07157},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.07157},
}
RIS
TY  - UNPB
TI  - Interacting multicomponent SU(N) magnets
AU  - Alexios P. Polychronakos
AU  - Konstantinos Sfetsos
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.07157
UR  - https://arxiv.org/abs/2610.07157
AB  - 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.
ER  -