Electronic localization in twisted bilayer MoS$_2$ with small rotation angle

Moir\'e patterns are known to confine electronic states in Transition Metal Dichalcogenide bilayers, thus generalizing the notion of magic angles discovered in twisted bilayer graphene to semiconductors. Here, we present a new Slater-Koster tight-binding model that allows the first reliable and systematic studies of such states in twisted bilayer MoS$_2$ for the whole range of rotation angles $\theta$. We show that isolated bands appear at low energy for $\theta \lesssim 5 - 6^\circ$. Moreover, these bands become "flat bands", characterized by a vanishing average velocity, for the smallest angles $\theta \lesssim 2^\circ$.