# Nonlinear bosonization, (Non-)Fermi Liquids, and the anomalous Hall effect

### APA

Du, Y. (2023). Nonlinear bosonization, (Non-)Fermi Liquids, and the anomalous Hall effect. Perimeter Institute. https://pirsa.org/23100071

### MLA

Du, Yi-Hsien. Nonlinear bosonization, (Non-)Fermi Liquids, and the anomalous Hall effect. Perimeter Institute, Oct. 03, 2023, https://pirsa.org/23100071

### BibTex

@misc{ pirsa_PIRSA:23100071, doi = {10.48660/23100071}, url = {https://pirsa.org/23100071}, author = {Du, Yi-Hsien}, keywords = {Condensed Matter}, language = {en}, title = {Nonlinear bosonization, (Non-)Fermi Liquids, and the anomalous Hall effect}, publisher = {Perimeter Institute}, year = {2023}, month = {oct}, note = {PIRSA:23100071 see, \url{https://pirsa.org}} }

Yi-Hsien Du University of Chicago

## Abstract

Fermi liquid theory is a cornerstone of condensed matter physics. I will show how to formulate Fermi liquid theory as an effective field theory. In this approach, the space of low-energy states of a Fermi liquid is identified with a coadjoint orbit of the group of canonical transformations. The method naturally leads to a nonlinear bosonized description of the Fermi liquid with nonlinear corrections fixed by the geometry of the Fermi surface. I will present that the resulting local effective field theory captures both linear and nonlinear effects in Landau’s Fermi liquid theory. The approach can be extended to encompass non-Fermi liquids, which correspond to strongly interacting fixed points obtained by deforming Fermi liquids with relevant interactions. I will also discuss how Berry curvature can be captured in the effective field theory approach.

---

Zoom link: https://pitp.zoom.us/j/95381972217?pwd=Ni9iQ2hrUVNnWTJERDRmZk9GaW1jZz09