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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)

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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: Faculties > Sciences > School of Physical Sciences
Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Gunnar Moeller
Date Deposited: 18 Aug 2016 21:11 UTC
Last Modified: 11 Feb 2020 12:17 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/55595 (The current URI for this page, for reference purposes)
Möller, Gunnar: https://orcid.org/0000-0001-8986-0899
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