Non-Fermi Liquid Behaviour in the Three Dimensional Hubbard Model

TL;DR

This paper investigates non-Fermi liquid behavior in a 3D Hubbard model using numerical simulations, revealing a quantum critical point and a separatrix that distinguishes Fermi liquid from non-Fermi liquid regimes.

Contribution

It provides the first numerical evidence of a quantum critical point and a separatrix in a three-dimensional Hubbard model, indicating non-Fermi liquid behavior.

Findings

Evidence of a separatrix at finite doping separating Fermi liquid and non-Fermi liquid regimes.

Indications of a marginal Fermi liquid behavior near the quantum critical point.

Support for the existence of a quantum critical point in 3D interacting Fermi systems.

Abstract

We present a numerical study on non-Fermi liquid behaviour of a three dimensional system. The Hubbard model in a cubic lattice is simulated by the dynamical cluster approximation, in particular the quasi-particle weight is calculated at finite dopings for a range of temperatures. Near the putative quantum critical point, we find evidence of a separatrix at a finite doping which separates the Fermi liquid from non-Fermi liquid as the doping increases. Our results suggest that a marginal Fermi liquid and possibly a quantum critical point should exist in the three dimensions interacting Fermi system.