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SU(N) Quantum Spin Model with Weak and Strong First-Order Transitions from Néel to Valence-Bond Solid.

Created on 17 Oct 2026

Authors

Ryan Flynn, Anders W Sandvik

Published in

Physical review letters. Volume 137. Issue 14. Pages 146501. Oct 02, 2026.

Abstract

We introduce an SU(N) symmetric two-dimensional quantum spin model, the X-Q model, which hosts a ground state transition between Néel antiferromagnetic and spontaneously dimerized states. The Q terms are products of two adjacent singlet projectors on nearest-neighbor sites, as in the often studied J-Q model (where J is the Heisenberg exchange), while the X terms are products of two permutation operators on second-neighbor sites. Quantum Monte Carlo simulations reveal close proximity to a deconfined quantum critical point for N=2, as in the J-Q model. However, for N>2 the transition becomes strongly first order, contrary to conventional expectations that increasing N should weaken discontinuities. We attribute this behavior to the inability of the X term to induce U(1) fluctuations of the dimer pattern, while those from the Q term are suppressed by 1/N. These results provide insights into the interactions that support deconfined criticality.

PMID:
42886935
Bibliographic data and abstract were imported from PubMed on 17 Oct 2026.

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