PIRSA:10040088 Conference

DOI10.48660/10040088

Conference/School: 4-Corner Southwest Ontario Condensed Matter Symposium 2010

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}}
}

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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