Möller, Gunnar, Cooper, Nigel R. (2015) Fractional Chern Insulators in Harper-Hofstadter Bands with Higher Chern Number. Physical Review Letters, 115 (12). Article Number 126401. ISSN 0031-9007. (doi:10.1103/PhysRevLett.115.126401) (KAR id:55595)
PDF (supplementary material included as appendix, but otherwise identical to print version.)
Author's Accepted Manuscript
Language: English |
|
Download this file (PDF/953kB) |
Preview |
Request a format suitable for use with assistive technology e.g. a screenreader | |
Official URL: http://dx.doi.org/10.1103/PhysRevLett.115.126401 |
Abstract
The Harper-Hofstadter model provides a fractal spectrum containing topological bands of any integer Chern number, C. We study the many-body physics that is realized by interacting particles occupying Harper-Hofstadter bands with |C|>1. We formulate the predictions of Chern-Simons or composite fermion theory in terms of the filling factor, $\nu$, defined as the ratio of particle density to the number of single-particle states per unit area. We show that this theory predicts a series of fractional quantum Hall states with filling factors nu = r/(r|C| +1) for bosons, or nu = r/(2r|C| +1) for fermions. This series includes a bosonic integer quantum Hall state (bIQHE) in |C|=2 bands. We construct specific cases where a single band of the Harper-Hofstadter model is occupied. For these cases, we provide numerical evidence that several states in this series are realized as incompressible quantum liquids for bosons with contact interactions.
Item Type: | Article |
---|---|
DOI/Identification number: | 10.1103/PhysRevLett.115.126401 |
Uncontrolled keywords: | Physics of Quantum Materials, Functional Materials Group |
Subjects: | Q Science > QC Physics > QC173.45 Condensed Matter |
Divisions: | Divisions > Division of Natural Sciences > Physics and Astronomy |
Funders: |
Organisations -1 not found. Organisations -1 not found. Organisations -1 not found. Isaac Newton Trust (https://ror.org/02gn6ta77) |
Depositing User: | Gunnar Moeller |
Date Deposited: | 18 Aug 2016 21:11 UTC |
Last Modified: | 09 Dec 2022 03:10 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/55595 (The current URI for this page, for reference purposes) |
- Link to SensusAccess
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):