Multilayer Haldane model

We propose the model of layered materials, in which each layer is described by the conventional Haldane model, while the inter-layer hopping parameter corresponds to the ABC stacking. We calculate the topological invariant N₃ for the resulting model, which is responsible for the conductivity of intrinsic quantum Hall effect. It has been shown that for a finite value of interlayer hopping parameter, the value of N₃ is equal to the number of layers multiplied by the topological invariant of each layer. At the same time this value may be calculated using the low energy effective theory.