A 2 π-periodic anisotropic magnetoresistance in multi-Weyl semimetals

A 2π-periodic anisotropic magnetoresistance (AMR) violating the classical two-fold symmetry is found in the multi-Weyl semimetals. It is induced by the intrinsic magnetization due to the magnetic doping. The monopole charge influences the novel AMR, strongly. For single- and triple-Weyl semimetals, tilt along thex-direction or equivalently along they-direction is indispensable in the nonzero AMR. However, the AMR with 2πperiod even exists for the untilted double-Weyl case. The oscillation of the conductivity for the triple one is out-of-phase compared to the other two. We decompose the conductivity into theπand 2πparts. The amplitude of the dominant 2πcontribution increases almost linearly with the magnetization for all three cases. Moreover, the strength of the magnetic scattering strongly affects the magnitudes. Our work will contribute to a deeper understanding of the AMR in multi-Weyl semimetals.