Ballistic transport in disordered Dirac and Weyl semimetals

Abstract

We study the dynamics of Dirac and Weyl electrons in disordered point-node semimetals. The ballistic feature of the transport is demonstrated by simulating the wave-packet dynamics on lattice models. We show that the ballistic transport survives under a considerable strength of disorder up to the semimetal-metal transition point, which indicates the robustness of point-node semimetals against disorder. We also visualize the robustness of the nodal points and linear dispersion under broken translational symmetry. The speed of the wave packets slows down with increasing disorder strength, and vanishes toward the critical strength of disorder, hence becoming the order parameter. The obtained critical behavior of the speed of the wave packets is consistent with that predicted by the scaling conjecture.

5 pages, 4 figures

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Cited by in corpus (3)

• Breakdown of universality in three-dimensional Dirac semimetals with random impurities
• Direct topological insulator transitions in three dimensions are destabilized by non-perturbative effects of disorder
• Intrinsic and extrinsic anomalous Hall effects in disordered magnetic Weyl semimetal