Halogen bonds have recently been introduced as ideal to transport anions across lipid bilayer membranes. However, activities obtained with small transporters were not impressive, and cyclic arrays of strong halogen-bond donors above a calix[4]arene scaffold gave even weaker activities. Here, we report that their linear alignment for anion hopping along transmembrane rigid-rod scaffolds gives excellent activities with an unprecedented cooperativity coefficient m = 3.37.