Positive Magneto-conductivity of Weyl Semimetals in the Ultra-quantum Limit

Abstract

In this paper, we numerically study the magnetic transport properties of disordered Weyl semimetals (WSM) in the ultra-quantum limit. We find a positive magnetic conductivity for the long-range disorder, although the system tends to have negative magnetic conductivity for the weak short-range disorder. Remarkably, for long-range disorder, such a positive magnetic conductivity cannot be described by the semiclassical Boltzmann transport theory even in the weak disorder limit, and the back-scattering assisted by the high Landau levels is always important. Our results have significant implications for the positive magnetic conductivity recently discovered in the WSM systems, and point out two physical mechanisms: (i) the long-range correlated disorder suppresses the back-scattering among the zeroth Landau level modes; (ii) with increasing the magnetic field, the back-scattering assisted by the high Landau levels will also be suppressed.

7 pages, 5 figures

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• Negative longitudinal magnetoconductance at weak fields in Weyl semimetals
• The sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals
• Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions
• Breakdown of Fermi liquid theory in topological multi-Weyl semimetals
• Numerical Study of Universal Conductance Fluctuation in Three-dimensional Topological Semimetals
• Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder
• Anomalous conductance scaling in strained Weyl semimetals
• Disorder-induced coupling of Weyl nodes in WTe${}_2$
• Anomalous spin Nernst effect in Weyl semimetals
• Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
• Emergent Weyl Fermions in an Orbital Multipolar Ordering Phase