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Microscopic model for the boson integer quantum Hall effect

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arxiv 1305.0298 v1 pith:L5464ZV7 submitted 2013-05-01 cond-mat.str-el

N. Regnault , T. Senthil This is my paper · ORCID
classification cond-mat.str-el
keywords hallstateintegermodelquantumbosonbosonsbulk
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In two dimensions strongly interacting bosons in a magnetic field can form an integer quantum Hall state. This state has a bulk gap, no fractional charges or topological order in the bulk but nevertheless has quantized Hall transport and symmetry protected edge excitations. Here we study a simple microscopic model for such a state in a system of two component bosons in a strong orbital magnetic field. We show through exact diagonalization calculations that the model supports the boson integer quantum Hall ground state in a range of parameters.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Doping lattice non-abelian quantum Hall states

    cond-mat.str-el 2025-05 conditional novelty 8.0 of 10

    Doping lattice Read-Rezayi states with their minimal non-abelian anyons gives charge-2 or charge-k superconductors for even k, and for odd k either superconductivity or a charge-k Fermi liquid with period-(k+2) charge...

  2. Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors

    cond-mat.mes-hall 2025-08 unverdicted novelty 7.0 of 10

    The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.

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