PIRSA:23100071

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

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

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

          @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

Talk number
PIRSA:23100071
Collection
Talk Type
Subject
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.

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