Newton-Cartan geometry and the quantum Hall effect
We construct an effective field theory for quantum Hall states, guided by the requirements of nonrelativistic general coordinate invariance and regularity of the zero mass limit. We propose Newton-Cartan geometry as the most natural formalism to construct such a theory. Universal predictions of the theory are discussed.
Authors
- D. Son (ORCID: https://orcid.org/0000-0003-1662-4777)
Institutions
- Fermi National Accelerator Laboratory (US)
- University of Chicago (US)
Publication Details
- Journal
- Low Temperature Physics
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1063/10.0035975
- Citations
- 105
- Primary Topic
- Quantum and electron transport phenomena
- Type
- article
- Field-Weighted Citation Impact
- 8.73
Funders
- National Science Foundation
- U.S. Department of Energy
- Materials Research Science and Engineering Center, Harvard University
- Division of Materials Research