Crossover from Fermi Liquid to Non-Fermi Liquid Behavior in a Solvable One-Dimensional Model

TL;DR

This paper investigates a one-dimensional quantum many-body model that transitions from Fermi liquid to non-Fermi liquid behavior as a parameter varies, revealing a crossover driven by an effective temperature.

Contribution

It introduces a solvable 1D model with tunable parameters demonstrating a crossover from Fermi liquid to non-Fermi liquid states.

Findings

Fermi liquid state at $\gamma=0$

Crossover to non-Fermi liquid with increasing $\gamma$

Effective temperature characterizes non-Fermi liquid states

Abstract

We consider a quantum moany-body problem in one-dimension described by a Jastrow type, characterized by an exponent $\lambda$ and a parameter $\gamma$. We show that with increasing $\gamma$, the Fermi Liquid state ($\gamma=0)$ crosses over to non-Fermi liquid states, characterized by effective "temperature".