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Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux

Hormozi, L, Möller, Gunnar, Simon, S H (2012) Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux. Physical Review Letters, 108 (25). ISSN 0031-9007. (doi:10.1103/PhysRevLett.108.256809)

Abstract

We study interacting bosons on a lattice in a magnetic field. When the number of flux quanta per plaquette is close to a rational fraction, the low energy physics is mapped to a multi-species continuum model: bosons in the lowest Landau level where each boson is given an internal degree of freedom, or \emph{pseudospin}. We find that the interaction potential between the bosons involves terms that do not conserve pseudospin, corresponding to umklapp processes, which in some cases can also be seen as BCS-type pairing terms. We argue that in experimentally realistic regimes for bosonic atoms in optical lattices with synthetic magnetic fields, these terms are crucial for determining the nature of allowed ground states. In particular, we show numerically that certain paired wave functions related to the Moore-Read Pfaffian state are stabilized by these terms, whereas certain other wave functions can be destabilized when umklapp processes become strong.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevLett.108.256809
Uncontrolled keywords: Physics of Quantum Materials, Hofstadter model, higher Chern numbers, fractional quantum Hall effect, effective continuum model, pairing, Moore-Read state, double pfaffian, Physics of Quantum Materials
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 Moller
Date Deposited: 29 Sep 2016 15:03 UTC
Last Modified: 17 Jul 2019 11:16 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/55577 (The current URI for this page, for reference purposes)
Möller, Gunnar: https://orcid.org/0000-0001-8986-0899
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