Classification of classical spin liquids: Topological quantum chemistry and crystalline symmetry
Classical spin liquids (CSLs) can be classified by their lowest-energy flat bands. This work advances the classification scheme by integrating crystalline symmetry and topological quantum chemistry into it. The authors present here a mathematical framework to analyze the band representations of flat bands in CSLs, illuminating how symmetry protects different classes of CSLs. Concrete examples, such as the construction of a symmetry-protected pinch-line algebraic CSL, demonstrate the power of this new classification approach.
Authors
- Jennifer Cano (ORCID: https://orcid.org/0000-0003-1528-4344)
- Han Yan (ORCID: https://orcid.org/0000-0002-9242-1915)
- Yuan Fang (ORCID: https://orcid.org/0000-0001-9885-4925)
- Andriy H. Nevidomskyy (ORCID: https://orcid.org/0000-0002-8684-7979)
Institutions
- Flatiron Health (United States) (US)
- Flatiron Institute (US)
- Stony Brook University (US)
- Rice University (US)
Publication Details
- Journal
- Physical review. B./Physical review. B
- Published
- 2024-08-09
- DOI
- https://doi.org/10.1103/physrevb.110.054421
- Citations
- 4
- Primary Topic
- Advanced Condensed Matter Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.24
Funders
- National Science Foundation
- Alfred P. Sloan Foundation
- Simons Foundation
- Stony Brook University