Nonlinear bosonization of Fermi liquids with Luca Delacretaz (U Chicago)

Nonlinear bosonization of Fermi liquids

Landau's theory of Fermi liquids is a cornerstone of condensed matter physics. I will show how to formulate Fermi liquid theory as an effective field theory of bosonic degrees of freedom, using the formalism of coadjoint orbits. While at the linear level, this theory reduces to multidimensional bosonization, it necessarily features nonlinear corrections that are fixed by the geometry of the Fermi surface. These are crucial to reproduce nonlinear response and certain other aspects of Fermi liquid theory phenomenology that are not captured by current bosonization approaches. The effective field theory framework furthermore systematically parametrizes corrections to Fermi liquid behavior, and provides a new angle to approach non-Fermi liquids. (Based on https://arxiv.org/abs/2203.05004).

Informal seminar series on latest quantum theory development by up and coming researchers.