Abstract
Weyl semimetals host relativistic chiral quasiparticles, which display quantum anomalies in the presence of external electromagnetic fields. Here, we study the manifestations of chiral anomalies in the longitudinal and planar magneto-transport coefficients of Weyl semimetals, in the presence of a quantizing magnetic field. We present a general framework for calculating all the transport coefficients in the regime where multiple Landau levels are occupied. We explicitly show that all the longitudinal and planar transport coefficients show Shubnikov-de Haas like quantum oscillations which are periodic in 1/B. Our calculations recover the quadratic-B dependence in the semiclassical regime, and predict a linear-B dependence in the ultra-quantum limit for all the transport coefficients.
Highlights
Weyl metals (WMs) host massless chiral relativistic quasiparticles which show very interesting and novel phenomena [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
The energy and temperature dependence of the scattering timescale can be included and it does not change the qualitative features of the discussed transport coefficients
We have to be more careful in analyzing the magnetic field dependence of the scattering timescale
Summary
Weyl metals (WMs) host massless chiral relativistic quasiparticles which show very interesting and novel phenomena [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]. A condensed matter realization of this was first explored in the lattice theory of Weyl fermions by Nielsen and Ninomiya in 1983 [18] They predicted that the CA will give rise to a positive longitudinal magnetoconductivity, which is linear in the magnetic field strength (B), for ultrahigh magnetic field in the diffusive limit. Relativistic chiral fluids in a gravitational field display the mixed chiral-gravitational anomaly, which results in nonconservation of the chiral energy [25,26] This manifests in the magnetothermal experiments in the form of positive magnetothermopower and positive magnetothermal conductivity [26,27,28,29], both of which have been observed in recent experiments [30,31].
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