# Fractional Chern Insulators in Harper-Hofstadter Bands with Higher Chern Number

Möller, Gunnar, Cooper, Nigel R (2015) Fractional Chern Insulators in Harper-Hofstadter Bands with Higher Chern Number. Physical Review Letters, 115 (12). 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
 Preview
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 10.1103/PhysRevLett.115.126401 Physics of Quantum Materials, Functional Materials Group Q Science > QC Physics > QC173.45 Condensed Matter Faculties > Sciences > School of Physical SciencesFaculties > Sciences > School of Physical Sciences > Functional Materials Group Gunnar Moeller 18 Aug 2016 21:11 UTC 11 Feb 2020 12:17 UTC https://kar.kent.ac.uk/id/eprint/55595 (The current URI for this page, for reference purposes) https://orcid.org/0000-0001-8986-0899
• Depositors only (login required):