In the X-Q model the Néel-VBS transition is strongly first-order for N>2 because the X term cannot generate enough U(1) fluctuations of the dimer pattern.
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Rydberg atoms on a triangular lattice host a deconfined quantum critical point between 1/3 and 2/3 filling phases, with predicted critical exponents, emergent U(1) symmetry in a CFT, and numerical confirmation.
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SU($N$) Quantum Spin Model with Weak and Strong First-Order N\'eel to Valence-Bond Solid Transitions
In the X-Q model the Néel-VBS transition is strongly first-order for N>2 because the X term cannot generate enough U(1) fluctuations of the dimer pattern.
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Deconfined quantum criticality on a triangular Rydberg array
Rydberg atoms on a triangular lattice host a deconfined quantum critical point between 1/3 and 2/3 filling phases, with predicted critical exponents, emergent U(1) symmetry in a CFT, and numerical confirmation.