Chiral magnetic effect and SdH oscillations in Dirac and Weyl metals

In the present work, we consider the interplay of chiral anomaly and Shubnikov-de Haas (SdH) oscillations in recently discovered Dirac metals. The kinetic theory describing the transport in these new materials should account for the chiral anomaly. The unbalanced number of chiral zero-modes in the presence of magnetic field due to the chiral anomaly gives rise to an additional contribution to the electric current -- the chiral magnetic effect [1]. The zero-modes are topologically protected from scattering and their contribution to the current leads to a negative magnetoresistance [2]. This effect was recently observed in measurements on the Dirac semimetal $Cd_3As_2$ [3], where the longitudinal (with respect to magnetic field) component of the resistivity tensor shows a negative slope, along with pronounced Shubnikov-de Haas (SdH) oscillations. We develop a combined description of both these phenomena within a chiral kinetic theory. \newline [1] K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D \textbf{78}, (2008). \newline [2] D. T. Son and B. Spivak, Phys Rev B \textbf{88}, (2013). \newline [3] T. Liang, Q. Gibson, M. N. Ali, M. Liu, R. J. Cava, and N. P. Ong, arXiv:1404.7794 [cond-mat.str-el] (2014).