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

Klaus Ziegler ()
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Klaus Ziegler: Institut für Physik, Universität Augsburg

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 12, 1-7

Abstract: 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. Within 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 phase. The latter turns out to be a critical fixed point in terms of a renormalization-group flow.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-70454-2

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