Momentum Distribution of a Weakly Coupled Fermi Gas

TL;DR

This paper uses the sea-boson method to analyze the momentum distribution of a weakly interacting Fermi gas in two dimensions, confirming Fermi liquid behavior, and explores a one-dimensional system with long-range interactions, mapping its phase.

Contribution

It introduces the application of the sea-boson method to both two-dimensional and one-dimensional Fermi systems with different interaction ranges, revealing Fermi liquid properties and phase mappings.

Findings

Ground state is a Landau Fermi liquid with 0 < Z_F < 1

Sea-boson method effectively analyzes momentum distribution

Mapped the Wigner crystal phase in 1D system

Abstract

We apply the sea-boson method to compute the momentum distribution of a spinless continuum Fermi gas in two space dimensions with short-range repulsive interactions. We find that the ground state of the system is a Landau Fermi liquid($ 0 < Z_{F} < 1 $). We also apply this method to study the one-dimensional system when the interactions are long-ranged gauge interactions. We map the Wigner crystal phase of this system.