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.
Highlights
Dirac/Weyl semimetals (DSM/WSM) [1,2,3,4] are three-dimensional (3D) systems where an electron near the Fermi energy obeys the massless Dirac/Weyl-like equation of motion
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 have studied the wave-packet dynamics of disordered DSM/WSMs and found that the point-node semimetals (PNSMs) show a ballistic transport, reflecting the robustness of PNSMs against disorder
Summary
Koji Kobayashi ,1 Miku Wada, and Tomi Ohtsuki 2 1Institute for Materials Research, Tohoku University, Sendai Aoba-ku 980-8577, Japan. 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 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, becoming the order parameter. The obtained critical behavior of the speed of the wave packets is consistent with that predicted by the scaling conjecture
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