We examine recent theoretical predictions for two-dimensional lattice bosonic/spin systems that superfluid-solid (SF-S) quantum phase transitions are often continuous and do not fit the canonical Ginzburg-Landau-Wilson (GLW) picture.We show that the GLW theory based on extended broken symmetry is consistent with existing numerical data, which report weak first-order transitions or problems with the finite-size scaling.This GLW theory excludes generic continuous SF-S transitions and quantum disordered phases.Remarkably, the phase diagram of the deconfined critical action itself features a weak first-order phase transition with spinon deconfinement, in accordance with the conventional theory.Problems with data collapse even in the regime of weak interactions between the spinons strongly suggest that the first-order deconfinement transition is the only possible outcome. * )Since the first study of the SF-VBS point within the J-current model, we have observed numerous first-order SF-VBS transitions for different sets of Hamiltonian parameters.We examine recent theoretical predictions for two-dimensional lattice bosonic/spin systems that superfluid-solid (SF-S) quantum phase transitions are often continuous and do not fit the canonical Ginzburg-Landau-Wilson (GLW) picture.We show that the GLW theory based on extended broken symmetry is consistent with existing numerical data, which report weak first-order transitions or problems with the finite-size scaling.This GLW theory excludes generic continuous SF-S transitions and quantum disordered phases.Remarkably, the phase diagram of the deconfined critical action itself features a weak first-order phase transition with spinon deconfinement, in accordance with the conventional theory.Problems with data collapse even in the regime of weak interactions between the spinons strongly suggest that the first-order deconfinement transition is the only possible outcome. * )Since the first study of the SF-VBS point within the J-current model, we have observed numerous first-order SF-VBS transitions for different sets of Hamiltonian parameters.

Progress of Theoretical Physics SupplementJan 1, 20054 citations

Quantum phase transitions in antiferromagnets and superfluids

Subir Sachdev A, Matthias Vojta C

arXiv:cond-mat/9908008Physica B Condensed MatterMay 1, 200017 citations

Alteration of topology in quantum phase transitions via symmetry enrichment

Gabriel Rein, Marcin Raczkowski, Zhenjiu Wang +2 more

Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with SU( $N$ ) $\times$ SU(2) $\times$ U(1) symmetry that have the potential to host critical points described by field theories with topological terms. For $N=2$ it shows a rich phase diagram containing semimetallic, quantum spin Hall insulating, Kekulé valence bond solid and s-wave superconducting phases and features multiple Landau-Ginzburg-Wilson phase transitions driven by interaction strength. At $N=1$ a deconfined quantum critical point is observed. At $N=2$ one expects the critical theory to correspond to a level 2 Wess-Zumino-Witten theory in 2+1 dimensions. Here the numerical results however show a strong first order transition. Another transition can be governed by a topological $θ$ -term which is rendered irrelevant for even values of $N$ thus leading to Landau-Ginzburg-Wilson behaviour.Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with SU($N$)$\times$SU(2)$\times$U(1) symmetry that have the potential to host critical points described by field theories with topological terms. For $N=2$ it shows a rich phase diagram containing semimetallic, quantum spin Hall insulating, Kekulé valence bond solid and s-wave superconducting phases and features multiple Landau-Ginzburg-Wilson phase transitions driven by interaction strength. At $N=1$ a deconfined quantum critical point is observed. At $N=2$ one expects the critical theory to correspond to a level 2 Wess-Zumino-Witten theory in 2+1 dimensions. Here the numerical results however show a strong first order transition. Another transition can be governed by a topological $θ$-term which is rendered irrelevant for even values of $N$ thus leading to Landau-Ginzburg-Wilson behaviour.

arXiv:2410.05059Physical review. B./Physical review. BJun 26, 20252 citations

Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

Kaden R. A. Hazzard

Springer thesesJan 1, 20114 citations

Phase transitions in quantum condensed matter

Hans Peter Büchler

Jan 1, 20030 citations

N

)

\times

SU(2)

\times

U(1) symmetry that have the potential to host critical points described by field theories with topological terms. For

N=2

it shows a rich phase diagram containing semimetallic, quantum spin Hall insulating, Kekulé valence bond solid and s-wave superconducting phases and features multiple Landau-Ginzburg-Wilson phase transitions driven by interaction strength. At

N=1

a deconfined quantum critical point is observed. At

N=2

one expects the critical theory to correspond to a level 2 Wess-Zumino-Witten theory in 2+1 dimensions. Here the numerical results however show a strong first order transition. Another transition can be governed by a topological

θ

-term which is rendered irrelevant for even values of

N

thus leading to Landau-Ginzburg-Wilson behaviour.