  A new type of angular oscillations of the high-frequency conductivity for
conductors with a band-contact line has been predicted. The effect is caused by
groups of charge carriers near the self-intersection points of the Fermi
surface, where the electron energy spectrum is near-linear and can be described
by anisotropic Dirac cone model. The amplitude of the resonance peaks satisfies
the simple sum rule. The ease in changing the degree of anisotropy of the Dirac
cone due to the angle of inclination of the magnetic field makes the considered
type of oscillations attractive for experimental observation of relativistic
effects
