PIRSA:17110135 Scientific Series Condensed Matter

DOI10.48660/17110135

Series: Quantum Matter

Gromov, A. (2017). Bimetric theory of Fractional Quantum Hall States. Perimeter Institute. https://pirsa.org/17110135

Gromov, Andrey. Bimetric theory of Fractional Quantum Hall States. Perimeter Institute, Nov. 23, 2017, https://pirsa.org/17110135 

@misc{ pirsa_PIRSA:17110135,
  doi = {10.48660/17110135},
  url = {https://pirsa.org/17110135},
  author = {Gromov, Andrey},
  keywords = {Condensed Matter},
  language = {en},
  title = {Bimetric theory of Fractional Quantum Hall States},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {nov},
  note = {PIRSA:17110135 see, \url{https://pirsa.org}}
}

Abstract

I will describe the recently developed bimetric theory of fractional quantum Hall states. It is an effective theory that includes the Chern-Simons term that describes the topological properties of the fractional quantum Hall state, and a non-linear, a la bimetric massive gravity action that describes gapped Girvin-MacDonald-Platzman mode at long wavelengths. The theory reproduces the universal features of the chiral lowest Landau level (LLL) FQH states that lie beyond the reach of pure Chern-Simons theory, such as the projected static structure factor and the Girvin-MacDonald-Platzman algebra. The action of particle-hole transformation on the theory is particularly transparent. Familiar quantum Hall observables acquire a geometric interpretation in the bimetric language

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