Work

Analogs of deconfined quantum criticality for noninvertible symmetry breaking in one dimension

Year: 2025

Type: article

Abstract: The spontaneous breaking of noninvertible symmetries can lead to exotic phenomena such as the coexistence of order and disorder. Here, we explore second-order phase transitions in one-dimensional spin chains between two phases that correspond to distinct patterns of noninvertible symmetry breaking. The critical point shares several features with well-understood examples of deconfined quantum critical points, such as enlarged symmetry and identical exponents for the two order parameters participating in the transition. Interestingly, such deconfined transitions involving noninvertible symmetries allow one to construct a whole family of similar critical points by gauging spin-flip symmetries. By employing gauging and bosonization, we characterize the phase diagram of our model in the vicinity of the critical point. We also explore proximate phases and phase transitions in related models, including a deconfined quantum critical point between invertible order parameters that is enforced by a noninvertible symmetry.

Source: Physical review. B./Physical review. B

DOI: 10.1103/8tsg-q9j6

Authors: Yu-Hsueh Chen, Tarun Grover

Institution: University of California San Diego

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Kavli Institute for Theoretical Physics, University of California, Santa Barbara

Awards: Non-Fermi liquids and criticality from quantum baths, G4360986921