Ballistic transport in disordered Dirac and Weyl semimetals

Koji Kobayashi, Miku Wada, Tomi Ohtsuki

Published 2020-03-04Version 1

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 wavepacket 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 wavepackets slows down with increasing disorder strength, and vanishes toward the critical strength of disorder, hence becomes the order parameter. The obtained critical behavior of the speed of wavepackets is consistent with that predicted by the scaling conjecture.