PIRSA:20080022 Scientific Series Condensed Matter

DOI10.48660/20080022

Todadri, S. (2020). Composite fermi liquids and non-commutative field theory. Perimeter Institute. https://pirsa.org/20080022

Todadri, Senthil. Composite fermi liquids and non-commutative field theory. Perimeter Institute, Sep. 28, 2020, https://pirsa.org/20080022 

@misc{ pirsa_PIRSA:20080022,
  doi = {10.48660/20080022},
  url = {https://pirsa.org/20080022},
  author = {Todadri, Senthil},
  keywords = {Condensed Matter},
  language = {en},
  title = {Composite fermi liquids and non-commutative field theory},
  publisher = {Perimeter Institute},
  year = {2020},
  month = {sep},
  note = {PIRSA:20080022 see, \url{https://pirsa.org}}
}

Abstract

The interplay between topology, strong correlations, and kinetic energy presents a new challenge for the theory of quantum matter. In this talk I will describe some recent progress on understanding a simple class of problems where these effects can all be analytically handled. I will first present results on a microscopic lowest Landau theory of the composite fermi liquid state of bosons at filling 1.  Building on work from the 1990s I will derive an effective field theory for this system that takes the form of a non-commutative field theory. I will show that an approximate mapping of this theory to a commutative field theory yield the familiar Halperin-Lee-Read action but with parameters correctly described by the interaction strength. I will describe the effect of a finite bandwidth  introduced to the Landau Level and describe the evolution between the composite Fermi liquid and a boson superfluid. Time permitting, I will describe some generalizations that will include the evolution between a Quantum Anomalous Hall state and a Landau Fermi liquid that may be experimentally accessible in moire graphene systems.

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