  Employing a two-band model of Weyl semimetal, the existence of the chiral
magnetic effect (CME) is established within the linear-response theory. The
crucial role played by the limiting procedure in deriving correct transport
properties is clarified. Besides, in contrast to the prediction based on
linearized effective models, the value of the CME coefficient in the uniform
limit shows nontrivial dependence on various model parameters. Even when these
parameters are away from the region of the linearized models, such that the
concept of chirality may not be appropriate, this effect still exists. This
implies that the Berry curvature, rather than the chiral anomaly, provides a
better understanding of this effect.
