Work

Noninvertible symmetry-enriched quantum critical point

Year: 2025

Type: article

Abstract: Noninvertible symmetry generalizes traditional group symmetries, advancing our understanding of quantum matter, especially one-dimensional gapped quantum systems. In critical lattice models, it is usually realized as emergent symmetries in the corresponding low-energy conformal field theories. In this work, we study critical lattice models with the noninvertible Rep($D_8$) symmetry in one dimension. This leads us to a new class of quantum critical points (QCP), noninvertible symmetry-enriched QCPs, as a generalization of known group symmetry-enriched QCPs. They are realized as phase transitions between one noninvertible symmetry-protected topological (SPT) phase and another different one or spontaneous symmetry breaking (SSB) phase. We identify their low-energy properties and topological features through the Kennedy-Tasaki (KT) duality transformation. We argue that distinct noninvertible symmetry-enriched QCPs can not be smoothly connected without a phase transition or a multi-critical point.

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

DOI: 10.1103/mz32-k1zk

Authors: Linhao Li, Rui-Zhen Huang, Weiguang Cao

Institutions: Ghent University, China Academy of Engineering Physics, Graduate School of China Academy of Engineering Physics, University of Copenhagen, University of Southern Denmark

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: Japan Society for the Promotion of Science, National Safety Academic Fund

Awards: G1322570085, G4553473049, G5048732594, G6617072635