  In this paper, we investigate thick branes generated by a scalar field in
mimetic gravity theory. By introducing two auxiliary super-potentials, we
transform the second-order field equations of the system into a set of
first-order equations. With this first-order formalism, several types of
analytical thick brane solutions are obtained. Then, tensor and scalar
perturbations are analysed. We find that both kinds of perturbations are
stable. The effective potentials for the tensor and scalar perturbations are
dual to each other. The tensor zero mode can be localized on the brane while
the scalar zero mode cannot. Thus, the four-dimensional Newtonian potential can
be recovered on the brane.
