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Hormozi L, Möller G, Simon SH. Fractional quantum Hall effect of lattice bosons near commensurate flux. Phys Rev Lett. 2012;108(25):256809doi: 10.1103/PhysRevLett.108.256809.
Hormozi, L., Möller, G., & Simon, S. H. (2012). Fractional quantum Hall effect of lattice bosons near commensurate flux. Physical review letters, 108(25), 256809. https://doi.org/10.1103/PhysRevLett.108.256809
Hormozi, L, et al. "Fractional quantum Hall effect of lattice bosons near commensurate flux." Physical review letters vol. 108,25 (2012): 256809. doi: https://doi.org/10.1103/PhysRevLett.108.256809
Hormozi L, Möller G, Simon SH. Fractional quantum Hall effect of lattice bosons near commensurate flux. Phys Rev Lett. 2012 Jun 22;108(25):256809. doi: 10.1103/PhysRevLett.108.256809. Epub 2012 Jun 19. PMID: 23004638.
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Phys Rev Lett. 2012 Jun 22;108(25):256809. doi: 10.1103/PhysRevLett.108.256809. Epub 2012 Jun 19.

Fractional quantum Hall effect of lattice bosons near commensurate flux.

Physical review letters

L Hormozi, G Möller, S H Simon

Affiliations

  1. Joint Quantum Institute, National Institute of Standards and Technology and University of Maryland, Gaithersburg, Maryland 20899, USA.

PMID: 23004638 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 multispecies continuum model: bosons in the lowest Landau level where each boson is given an internal degree of freedom, or 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.

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