Weyl semimetallic phase in an interacting lattice system

TL;DR

This paper rigorously proves the existence of a Weyl semimetallic phase in an interacting 3D lattice system using RG methods, showing the system's behavior near the quantum critical point.

Contribution

It establishes the Weyl semimetallic phase in an interacting lattice system with a rigorous RG analysis, including the critical point.

Findings

Zero temperature Schwinger functions are close to massless Dirac fermions

Convergent expansion in a parameter region including the critical point

Identification of the quantum critical point between semimetallic and insulating phases

Abstract

By using Wilsonian Renormalization Group (RG) methods we rigorously establish the existence of a Weyl semimetallic phase in an interacting three dimensional fermionic lattice system, by showing that the zero temperature Schwinger functions are asymptotically close to the ones of massless Dirac fermions. This is done via an expansion which is convergent in a region of parameters, which includes the quantum critical point discriminating between the semimetallic and the insulating phase.