Mesoscopic transport in a Chern mosaic

We study transport properties of a Chern mosaic: a regular tiling of alternating Chern domains. We demonstrate the key role of edge networks towards transport properties of such systems and study a minimal model capturing the relevant physics. Our results are relevant to experiments on moire systems such as marginally twisted bilayer graphene (TBG), magic angle TBG aligned with hexagonal boron nitride, and helical trilayer graphene.