# Two-dimensional Fermi liquid dynamics with density and quadrupolar interactions

## TL;DR

This paper investigates the dynamics of a two-dimensional Fermi liquid with density and quadrupolar interactions, revealing a phase diagram with potential dynamical phase transitions through bosonization and spectral analysis.

## Contribution

It introduces a comprehensive analysis of collective modes in a 2D Fermi liquid with both density and quadrupolar interactions, highlighting a dynamical phase transition region.

## Key findings

- Identification of collective modes across various interaction strengths
- Discovery of a region with abrupt changes in mode structure
- Proposal of a dynamical phase transition in the model

## Abstract

We consider a Fermi liquid model with density-density as well as quadrupolar forward scattering interactions parametrized by the Landau parameters $F_0$ and $F_2$. Using bosonization and a decimation technique, we compute collective modes and spectral functions for a huge range of interactions, ranging from strong repulsion to strong attraction in either angular momentum channels. We present a dynamical phase diagram showing a region of parameters where the collective modes structure changes abruptly, possibly signaling a dynamical phase transition.