The stable AR-quiver of a quantum complete intersection

We completely describe the tree classes of the components of the stable Auslander-Reiten quiver of a quantum complete intersection. In particular, we show that the tree class is always $A_{\mathrm{\infty }}$ whenever the algebra is of wild representation type. Moreover, in the tame case, there is one component of tree class ${\tilde{A}}_{12}$, whereas all the other are of tree class $A_{\mathrm{\infty }}$.