PIRSA:10040088

Fractional Quantum Hall Effect and Featureless Mott Insulators

Burkov, A. (2010). Fractional Quantum Hall Effect and Featureless Mott Insulators. Perimeter Institute. https://pirsa.org/10040088

Burkov, Anton. Fractional Quantum Hall Effect and Featureless Mott Insulators. Perimeter Institute, Apr. 22, 2010, https://pirsa.org/10040088 

          @misc{ pirsa_PIRSA:10040088,
            doi = {10.48660/10040088},
            url = {https://pirsa.org/10040088},
            author = {Burkov, Anton},
            keywords = {},
            language = {en},
            title = {Fractional Quantum Hall Effect and Featureless Mott Insulators},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {apr},
            note = {PIRSA:10040088 see, \url{https://pirsa.org}}
          }

Anton Burkov University of Waterloo

DOI 10.48660/10040088
Collection
Talk Type Conference

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.