# Composite fermi liquids and non-commutative field theory

### APA

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

### MLA

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

### BibTex

@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}} }

Senthil Todadri Massachusetts Institute of Technology (MIT) - Department of Physics

**Talk Type**Scientific Series

**Subject**

## 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.