The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero

TL;DR

This paper introduces a model combining Weyl fermions with strong interactions, revealing a unique Green's function zero called the Weyl-Mott point that leads to non-Fermi-liquid behavior and topological insulating states.

Contribution

It demonstrates the existence of a Weyl-Mott point with a topological charge, linking strong correlations to topological and non-Fermi-liquid phenomena.

Findings

Identification of a Weyl-Mott point as an isolated Green's function zero

Emergence of non-Fermi-liquid behavior at the Weyl-Mott point

Connection between the Green's function zero and topological charge

Abstract

We present a model in which a Hatsugai-Kohmoto interaction is added to a system of fermions with a Weyl point in their non-interacting dispersion relation, and analyze its behavior as a function of the chemical potential. We show that the model exhibits a Weyl-Mott point -- a single isolated Green's function zero -- and that this implies an emergent non-Fermi-liquid state at the border of the metallic regime and a gapped topological state for the insulating one. The Weyl-Mott point inherits the topological charge from the original Green's function pole, and is therefore naturally associated with a strongly correlated chiral anomaly.