Holographic models for undoped Weyl semimetals

TL;DR

This paper uses holographic models to study undoped Weyl semimetals, revealing a quantum phase transition from non-Fermi liquid to Fermi liquid with spontaneous Fermi surface formation at zero chemical potential.

Contribution

It extends holographic descriptions to Lifshitz scaling with z=2, demonstrating a phase transition and Fermi surface formation in undoped Weyl semimetals.

Findings

Discovery of a quantum phase transition at zero chemical potential.

Identification of spontaneous Fermi surface formation.

Spectral densities and dispersion relations at finite temperature and momentum.

Abstract

We continue our recently proposed holographic description of single-particle correlation functions for four-dimensional chiral fermions with Lifshitz scaling at zero chemical potential, paying particular attention to the dynamical exponent z = 2. We present new results for the spectral densities and dispersion relations at non-zero momenta and temperature. In contrast to the relativistic case with z = 1, we find the existence of a quantum phase transition from a non-Fermi liquid into a Fermi liquid in which two Fermi surfaces spontaneously form, even at zero chemical potential. Our findings show that the boundary system behaves like an undoped Weyl semimetal.