# Quantum transport in 3D Weyl semimetals: Is there a metal-insulator transition?

Source: [Quantum transport in 3D Weyl semimetals: Is there a metal-insulator transition?](<https://www.sota2.com/research/paper/68fa34ce1e209131ce89c455>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:53:51.966Z

Authors: K. Ziegler

Published: 2015-01-01T10:29:54.000Z

## Abstract

We calculate the transport properties of three-dimensional Weyl fermions in a disordered environment. The resulting conductivity depends only on the Fermi energy and the scattering rate. First we study the conductivity at the spectral node for a fixed scattering rate and obtain a continuous transition from an insulator at weak disorder to a metal at stronger disorder. In the self-consistent Born approximation the scattering rate depends on the Fermi energy. Then it is crucial that the limits of the conductivity for a vanishing Fermi energy and a vanishing scattering rate do not commute. As a result, there is also metallic behavior in the phase with vanishing scattering rate and only a quantum critical point remains as an insulating state.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1501.00268>)

[PDF](<https://arxiv.org/pdf/1501.00268.pdf>)