Magnetotransport in multi-Weyl semimetals: a kinetic theory approach

Abstract

We study the longitudinal magnetotransport in three-dimensional multi-Weyl semimetals, constituted by a pair of (anti)-monopole of arbitrary integer charge (n), with n = 1, 2 and 3 in a crystalline environment. For any n > 1, even though the distribution of the underlying Berry curvature is anisotropic, the corresponding intrinsic component of the longitudinal magnetoconductivity (LMC), bearing the signature of the chiral anomaly, is insensitive to the direction of the external magnetic field (B) and increases as B 2 , at least when it is sufficiently weak (the semi-classical regime). In addition, the LMC scales as n 3 with the monopole charge. We demonstrate these outcomes for two distinct scenarios, namely when inter-particle collisions in the Weyl medium are effectively described by (a) a single and (b) two (corresponding to inter-and intra-valley) scattering times. While in the former situation the contribution to LMC from chiral anomaly is inseparable from the non-anomalous ones, these two contributions are characterized by different time scales in the later construction. Specifically for sufficiently large inter-valley scattering time the LMC is dominated by the anomalous contribution, arising from the chiral anomaly. The predicted scaling of LMC and the signature of chiral anomaly can be observed in recently proposed candidate materials, accommodating multi-Weyl semimetals in various solid state compounds.

Magneto-transport in a chiral fluid from kinetic theory

“…We have also given the value of the same quantities for a non-relativistic case, the Weyl semimetal case. The value of the electrical conductivity σ L for a Weyl semimetal, namely v c 3 σ, has been previously found in [43] 13 . All other coefficients are our results in the current papers.…”

“…The negative magneto resistant in a Weyl fluid was firstly computed in [19] and then more accurately in [43]. However in both of these works the system under the study was a Weyl semimetal without having the Lorentz symmetry on the Lattice.…”

“…However in both of these works the system under the study was a Weyl semimetal without having the Lorentz symmetry on the Lattice. Due to this reason, the authors of [19,43] ignored the corrections of the energy dispersion given in (2.9) when computing the electrical conductivity. In this subsection and under the same assumptions considered in [19,43], we find the other conductivity coefficients, namely s and κ (see Appendix C for detailed computations.).…”

“…Due to this reason, the authors of [19,43] ignored the corrections of the energy dispersion given in (2.9) when computing the electrical conductivity. In this subsection and under the same assumptions considered in [19,43], we find the other conductivity coefficients, namely s and κ (see Appendix C for detailed computations.). Then by comparing them with those obtained in § 2.5, we discuss about the physical consequence of ignoring the corrections.…”

Non-Abelian anomalies in multi-Weyl semimetals

“…where p ⊥ = ( p sin θ/α n ) 1/n . The Berry curvature of the conduction band then takes the form [50] Ω p = n 2 α 2…”