Fractional Quantum Hall Effect and Featureless Mott Insulators

Details Fractional Quantum Hall Effect and Featureless Mott Insulators Fractional Quantum Hall Effect and Featureless Mott Insulators

2009-11-20

arxiv.org/abs/0911.4094v3

Phys. Rev. B 81, 125111 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 1 figure. Published version.

Scientific paper

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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