# Phase-diagram and dynamics of Rydberg-dressed fermions in two-dimensions

## TL;DR

This paper studies the ground-state properties and collective excitations of a 2D Rydberg-dressed Fermi liquid, revealing phase separation, density order, and density-wave instabilities through theoretical approximations.

## Contribution

It provides a detailed analysis of phase transitions and collective modes in 2D Rydberg-dressed fermions, incorporating exchange effects via the Hubbard local-field factor.

## Key findings

- Homogeneous system becomes unstable towards phase separation.
- Density-wave instabilities are identified through spectral weight analysis.
- Exchange-hole effects influence collective mode dispersion.

## Abstract

We investigate the ground-state properties and the collective modes of a two-dimensional two-component Rydberg-dressed Fermi liquid in the dipole-blockade regime. We find instability of the homogeneous system toward phase separated and density ordered phases, using the Hartree-Fock and random-phase approximations, respectively. The spectral weight of collective density oscillations in the homogenous phase also signals the emergence of density-wave instability. We examine the effect of exchange-hole on the density-wave instability and on the collective mode dispersion using the Hubbard local-field factor.