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arXiv · 0911.4094

Fractional Quantum Hall Effect and Featureless Mott Insulators

A. A. Burkov
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Abstract

We point out and explicitly demonstrate a close connection that exists between featureless Mott insulators and fractional quantum Hall liquids. Using magnetic Wannier states as the single-particle basis in the lowest Landau level (LLL), we demonstrate that the Hamiltonian of interacting bosons in the LLL maps onto a Hamiltonian of a featureless Mott insulator on triangular lattice, formed by the magnetic Wannier states. The Hamiltonian is remarkably simple and consists only of short-range repulsion and ring-exchange terms.

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A. A. Burkov. 2010-03-11. Fractional Quantum Hall Effect and Featureless Mott Insulators. https://doi.org/10.1103/physrevb.81.125111

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