Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition. We find compelling evidence that the generic runaway renormalization flow of the gauge coupling is to a weak first order transition, similar to the case of U(1) $\times$ U(1) symmetry. Our results imply that recent numeric studies of the Nèel antiferromagnet to valence bond solid quantum phase transition in SU(2)-symmetric models were not accurate enough in determining the nature of the transition.Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition. We find compelling evidence that the generic runaway renormalization flow of the gauge coupling is to a weak first order transition, similar to the case of U(1)$\times$U(1) symmetry. Our results imply that recent numeric studies of the Nèel antiferromagnet to valence bond solid quantum phase transition in SU(2)-symmetric models were not accurate enough in determining the nature of the transition.

arXiv:0805.4334May 28, 20080 citations

Deconfined Criticality: Generic First-Order Transition in the SU(2) Symmetry Case

Anatoly B. Kuklov, Munehisa Matsumoto, Nikolay V. Prokof'ev +2 more

Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition. We find compelling evidence that the generic runaway renormalization flow of the gauge coupling is to a weak first-order transition, similar to the case of U(1) x U(1) symmetry. Our results imply that recent numeric studies of the Nèel antiferromagnet to valence bond solid quantum phase transition in SU(2)-symmetric models were not accurate enough in determining the nature of the transition.Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition. We find compelling evidence that the generic runaway renormalization flow of the gauge coupling is to a weak first-order transition, similar to the case of U(1) x U(1) symmetry. Our results imply that recent numeric studies of the Nèel antiferromagnet to valence bond solid quantum phase transition in SU(2)-symmetric models were not accurate enough in determining the nature of the transition.

Physical Review LettersAug 1, 2008185 citations

New aspect of deconfined quantum criticality

Bowen Zhao

Jan 1, 20220 citations

Variational Monte Carlo study of symmetric mass generation in a bilayer honeycomb lattice model

Wanda Hou, Yi‐Zhuang You

This paper investigates the symmetric mass generation transition in a bilayer honeycomb lattice model using variational Monte Carlo simulations. By measuring the fermion scaling dimension at the critical point, the authors provide evidence for fermion fractionalization into deconfined emergent particles, supporting the hypothesis that the transition is a fermionic deconfined quantum critical point. The numerical results, including the critical exponent and fermion dimension, agree with theoretical predictions.This paper investigates the symmetric mass generation transition in a bilayer honeycomb lattice model using variational Monte Carlo simulations. By measuring the fermion scaling dimension at the critical point, the authors provide evidence for fermion fractionalization into deconfined emergent particles, supporting the hypothesis that the transition is a fermionic deconfined quantum critical point. The numerical results, including the critical exponent and fermion dimension, agree with theoretical predictions.

arXiv:2212.13364Physical review. B./Physical review. BSep 20, 20238 citations

Deconfined quantum criticality in the 2D J-Q model

Bowen Zhao, Anders W. Sandvik

Bulletin of the American Physical SocietyMar 3, 20200 citations

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U(1) symmetry. Our results imply that recent numeric studies of the Nèel antiferromagnet to valence bond solid quantum phase transition in SU(2)-symmetric models were not accurate enough in determining the nature of the transition.