Illustrating the categorical Landau paradigm in lattice models
Recent years have seen the concept of global symmetry extended to noninvertible (or categorical) symmetries, for which the composition of symmetry generators is not necessarily invertible. Such noninvertible symmetries lead to a generalization of the standard Landau paradigm. In this work, we substantiate this framework by providing a $(1+1)\mathrm{d}$ lattice model, whose gapped phases and phase transitions can only be explained by symmetry breaking of noninvertible symmetries.
Authors
- Lea E. Bottini (ORCID: https://orcid.org/0000-0003-4994-1533)
- Sakura Schäfer‐Nameki (ORCID: https://orcid.org/0000-0003-0138-0407)
- Lakshya Bhardwaj (ORCID: https://orcid.org/0000-0002-3822-8997)
- Apoorv Tiwari (ORCID: https://orcid.org/0000-0003-4742-775X)
Institutions
- University of Copenhagen (DK)
- University of Oxford (GB)
- Niels Brock (DK)
Publication Details
- Journal
- Physical review. B./Physical review. B
- Published
- 2025-02-21
- DOI
- https://doi.org/10.1103/physrevb.111.054432
- Citations
- 17
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 21.19
Funders
- Simons Foundation
- Villum Fonden
- UK Research and Innovation
- Royal Society