Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup

• URL: http://arxiv.org/abs/2401.11702v2
• Date: Wed, 5 Jun 2024 15:34:07 GMT
• Title: Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
• Authors: Lei Su, Meng Zeng,
• Abstract summary: Gauging a finite subgroup of a global symmetry can map conventional phases and phase transitions to unconventional ones. In this work, we study an emergent $mathbbZ$-gauged system with global $U(1)$. We also discuss the stability of these phases and the critical points to small perturbations and their potential experimental realizations.
• Score: 0.6675805308519986
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Gauging a finite subgroup of a global symmetry can map conventional phases and phase transitions to unconventional ones. In this work, we study, as a concrete example, an emergent $\mathbb{Z}_2$-gauged system with global symmetry $U(1)$, namely, the $\mathbb{Z}_2$-gauged Bose-Hubbard model both in 1-D and in 2-D. In certain limits, there is an emergent mixed 't Hooft anomaly between the quotient $\tilde{U}(1)$ symmetry and the dual $\hat{\mathbb{Z}}_2$ symmetry. In 1-D, the superfluid phase is mapped to an intrinsically gapless symmetry-protected topological (SPT) phase, as supported by density-matrix renormalization group (DMRG) calculations. In 2-D, the original superfluid-insulator transition becomes a generalized deconfined quantum critical point (DQCP) between a gapless SPT phase, where a SPT order coexists with Goldstone modes, and a $\tilde{U}(1)$-symmetry-enriched topological (SET) phase. We also discuss the stability of these phases and the critical points to small perturbations and their potential experimental realizations. Our work demonstrates that partial gauging is a simple and yet powerful approach in constructing novel phases and quantum criticalities.

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