  We construct a higher derivative theory involving an axionic field and the
Weyl tensor in four dimensional spacetime. Up to the first order of the
coupling parameters, the charged black brane solution with momentum dissipation
in a perturbative manner is constructed. Metal-insulator transitions are
implemented when varying the system parameters at zero temperature. Also, we
study the transports including DC conductivity and optical conductivity at zero
charge density. We observe the exact particle-vortex duality for some specific
momentum dissipation strength.
